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Finding the Fourth Proportional to 59,518, 89,178.48 and 29,873.28

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Solution

The fourth proportional to 59,518, 89,178.48 and 29,873.28 is: 44,760.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,518 : 89,178.48 = 29,873.28 : x
  2. Step 2: Convert to fraction form
    59,518/89,178.48 = 29,873.28/x
  3. Step 3: Cross multiply
    59,518x = 89,178.48 × 29,873.28
  4. Step 4: Simplify right side
    59,518x = 2,664,053,703.01
  5. Step 5: Solve for x
    x = 2,664,053,703.01/59,518
  6. Step 6: Final answer
    x = 44,760.47

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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.