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Finding the Fourth Proportional to 42,158.16, 63,269.88 and 15,886.80

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Solution

The fourth proportional to 42,158.16, 63,269.88 and 15,886.80 is: 23,842.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,158.16 : 63,269.88 = 15,886.80 : x
  2. Step 2: Convert to fraction form
    42,158.16/63,269.88 = 15,886.80/x
  3. Step 3: Cross multiply
    42,158.16x = 63,269.88 × 15,886.80
  4. Step 4: Simplify right side
    42,158.16x = 1,005,155,929.58
  5. Step 5: Solve for x
    x = 1,005,155,929.58/42,158.16
  6. Step 6: Final answer
    x = 23,842.50

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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.