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Finding the Fourth Proportional to 42,148.16, 63,254.90 and 15,876.80

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Solution

The fourth proportional to 42,148.16, 63,254.90 and 15,876.80 is: 23,827.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,148.16 : 63,254.90 = 15,876.80 : x
  2. Step 2: Convert to fraction form
    42,148.16/63,254.90 = 15,876.80/x
  3. Step 3: Cross multiply
    42,148.16x = 63,254.90 × 15,876.80
  4. Step 4: Simplify right side
    42,148.16x = 1,004,285,396.32
  5. Step 5: Solve for x
    x = 1,004,285,396.32/42,148.16
  6. Step 6: Final answer
    x = 23,827.50

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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.