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Finding the Fourth Proportional to 42,142.16, 63,245.88 and 15,870.80

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Solution

The fourth proportional to 42,142.16, 63,245.88 and 15,870.80 is: 23,818.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,142.16 : 63,245.88 = 15,870.80 : x
  2. Step 2: Convert to fraction form
    42,142.16/63,245.88 = 15,870.80/x
  3. Step 3: Cross multiply
    42,142.16x = 63,245.88 × 15,870.80
  4. Step 4: Simplify right side
    42,142.16x = 1,003,762,712.30
  5. Step 5: Solve for x
    x = 1,003,762,712.30/42,142.16
  6. Step 6: Final answer
    x = 23,818.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.