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Finding the Fourth Proportional to 59,835, 89,752.50 and 16,059

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Solution

The fourth proportional to 59,835, 89,752.50 and 16,059 is: 24,088.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,835 : 89,752.50 = 16,059 : x
  2. Step 2: Convert to fraction form
    59,835/89,752.50 = 16,059/x
  3. Step 3: Cross multiply
    59,835x = 89,752.50 × 16,059
  4. Step 4: Simplify right side
    59,835x = 1,441,335,397.50
  5. Step 5: Solve for x
    x = 1,441,335,397.50/59,835
  6. Step 6: Final answer
    x = 24,088.50

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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.