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Finding the Fourth Proportional to 52,348.50, 78,537.15 and 15,412.50

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Solution

The fourth proportional to 52,348.50, 78,537.15 and 15,412.50 is: 23,122.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,348.50 : 78,537.15 = 15,412.50 : x
  2. Step 2: Convert to fraction form
    52,348.50/78,537.15 = 15,412.50/x
  3. Step 3: Cross multiply
    52,348.50x = 78,537.15 × 15,412.50
  4. Step 4: Simplify right side
    52,348.50x = 1,210,453,824.38
  5. Step 5: Solve for x
    x = 1,210,453,824.38/52,348.50
  6. Step 6: Final answer
    x = 23,122.99

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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.