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Finding the Fourth Proportional to 42,080.42, 63,124.14 and 12,094.76

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Solution

The fourth proportional to 42,080.42, 63,124.14 and 12,094.76 is: 18,143.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,080.42 : 63,124.14 = 12,094.76 : x
  2. Step 2: Convert to fraction form
    42,080.42/63,124.14 = 12,094.76/x
  3. Step 3: Cross multiply
    42,080.42x = 63,124.14 × 12,094.76
  4. Step 4: Simplify right side
    42,080.42x = 763,471,323.51
  5. Step 5: Solve for x
    x = 763,471,323.51/42,080.42
  6. Step 6: Final answer
    x = 18,143.15

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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.