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Finding the Fourth Proportional to 56,009.10, 83,926.16 and 47,654.76

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Solution

The fourth proportional to 56,009.10, 83,926.16 and 47,654.76 is: 71,407.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,009.10 : 83,926.16 = 47,654.76 : x
  2. Step 2: Convert to fraction form
    56,009.10/83,926.16 = 47,654.76/x
  3. Step 3: Cross multiply
    56,009.10x = 83,926.16 × 47,654.76
  4. Step 4: Simplify right side
    56,009.10x = 3,999,480,774.25
  5. Step 5: Solve for x
    x = 3,999,480,774.25/56,009.10
  6. Step 6: Final answer
    x = 71,407.70

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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.