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Finding the Fourth Proportional to 62,002, 85,564.68 and 35,506

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Solution

The fourth proportional to 62,002, 85,564.68 and 35,506 is: 48,999.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,002 : 85,564.68 = 35,506 : x
  2. Step 2: Convert to fraction form
    62,002/85,564.68 = 35,506/x
  3. Step 3: Cross multiply
    62,002x = 85,564.68 × 35,506
  4. Step 4: Simplify right side
    62,002x = 3,038,059,528.08
  5. Step 5: Solve for x
    x = 3,038,059,528.08/62,002
  6. Step 6: Final answer
    x = 48,999.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.