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Finding the Fourth Proportional to 60,585, 90,896.03 and 31,023.75

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Solution

The fourth proportional to 60,585, 90,896.03 and 31,023.75 is: 46,545.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,585 : 90,896.03 = 31,023.75 : x
  2. Step 2: Convert to fraction form
    60,585/90,896.03 = 31,023.75/x
  3. Step 3: Cross multiply
    60,585x = 90,896.03 × 31,023.75
  4. Step 4: Simplify right side
    60,585x = 2,819,935,710.71
  5. Step 5: Solve for x
    x = 2,819,935,710.71/60,585
  6. Step 6: Final answer
    x = 46,545.11

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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.