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Finding the Fourth Proportional to 61,921.84, 92,948.28 and 38,564.68

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Solution

The fourth proportional to 61,921.84, 92,948.28 and 38,564.68 is: 57,887.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,921.84 : 92,948.28 = 38,564.68 : x
  2. Step 2: Convert to fraction form
    61,921.84/92,948.28 = 38,564.68/x
  3. Step 3: Cross multiply
    61,921.84x = 92,948.28 × 38,564.68
  4. Step 4: Simplify right side
    61,921.84x = 3,584,520,674.75
  5. Step 5: Solve for x
    x = 3,584,520,674.75/61,921.84
  6. Step 6: Final answer
    x = 57,887.83

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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.