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Finding the Fourth Proportional to 42,005.40, 63,008.10 and 38,117.40

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Solution

The fourth proportional to 42,005.40, 63,008.10 and 38,117.40 is: 57,176.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,005.40 : 63,008.10 = 38,117.40 : x
  2. Step 2: Convert to fraction form
    42,005.40/63,008.10 = 38,117.40/x
  3. Step 3: Cross multiply
    42,005.40x = 63,008.10 × 38,117.40
  4. Step 4: Simplify right side
    42,005.40x = 2,401,704,950.94
  5. Step 5: Solve for x
    x = 2,401,704,950.94/42,005.40
  6. Step 6: Final answer
    x = 57,176.10

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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.