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Finding the Fourth Proportional to 62,102.94, 93,101.76 and 24,689.46

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Solution

The fourth proportional to 62,102.94, 93,101.76 and 24,689.46 is: 37,013.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,102.94 : 93,101.76 = 24,689.46 : x
  2. Step 2: Convert to fraction form
    62,102.94/93,101.76 = 24,689.46/x
  3. Step 3: Cross multiply
    62,102.94x = 93,101.76 × 24,689.46
  4. Step 4: Simplify right side
    62,102.94x = 2,298,632,179.45
  5. Step 5: Solve for x
    x = 2,298,632,179.45/62,102.94
  6. Step 6: Final answer
    x = 37,013.26

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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.