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Finding the Fourth Proportional to 35,728.25, 53,588.57 and 14,670.50

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Solution

The fourth proportional to 35,728.25, 53,588.57 and 14,670.50 is: 22,004.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,728.25 : 53,588.57 = 14,670.50 : x
  2. Step 2: Convert to fraction form
    35,728.25/53,588.57 = 14,670.50/x
  3. Step 3: Cross multiply
    35,728.25x = 53,588.57 × 14,670.50
  4. Step 4: Simplify right side
    35,728.25x = 786,170,774.89
  5. Step 5: Solve for x
    x = 786,170,774.89/35,728.25
  6. Step 6: Final answer
    x = 22,004.18

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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.