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Finding the Fourth Proportional to 42,766.17, 64,151.88 and 16,470.99

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Solution

The fourth proportional to 42,766.17, 64,151.88 and 16,470.99 is: 24,707.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,766.17 : 64,151.88 = 16,470.99 : x
  2. Step 2: Convert to fraction form
    42,766.17/64,151.88 = 16,470.99/x
  3. Step 3: Cross multiply
    42,766.17x = 64,151.88 × 16,470.99
  4. Step 4: Simplify right side
    42,766.17x = 1,056,644,973.96
  5. Step 5: Solve for x
    x = 1,056,644,973.96/42,766.17
  6. Step 6: Final answer
    x = 24,707.50

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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.