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Finding the Fourth Proportional to 52,505.19, 78,726.10 and 20,920.13

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Solution

The fourth proportional to 52,505.19, 78,726.10 and 20,920.13 is: 31,367.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,505.19 : 78,726.10 = 20,920.13 : x
  2. Step 2: Convert to fraction form
    52,505.19/78,726.10 = 20,920.13/x
  3. Step 3: Cross multiply
    52,505.19x = 78,726.10 × 20,920.13
  4. Step 4: Simplify right side
    52,505.19x = 1,646,960,246.39
  5. Step 5: Solve for x
    x = 1,646,960,246.39/52,505.19
  6. Step 6: Final answer
    x = 31,367.57

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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.