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Finding the Fourth Proportional to 56,003.24, 84,004.86 and 14,447

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Solution

The fourth proportional to 56,003.24, 84,004.86 and 14,447 is: 21,670.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,003.24 : 84,004.86 = 14,447 : x
  2. Step 2: Convert to fraction form
    56,003.24/84,004.86 = 14,447/x
  3. Step 3: Cross multiply
    56,003.24x = 84,004.86 × 14,447
  4. Step 4: Simplify right side
    56,003.24x = 1,213,618,212.42
  5. Step 5: Solve for x
    x = 1,213,618,212.42/56,003.24
  6. Step 6: Final answer
    x = 21,670.50

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.