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Finding the Fourth Proportional to 52,292.49, 78,448.14 and 19,059.20

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Solution

The fourth proportional to 52,292.49, 78,448.14 and 19,059.20 is: 28,592.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,292.49 : 78,448.14 = 19,059.20 : x
  2. Step 2: Convert to fraction form
    52,292.49/78,448.14 = 19,059.20/x
  3. Step 3: Cross multiply
    52,292.49x = 78,448.14 × 19,059.20
  4. Step 4: Simplify right side
    52,292.49x = 1,495,158,397.65
  5. Step 5: Solve for x
    x = 1,495,158,397.65/52,292.49
  6. Step 6: Final answer
    x = 28,592.22

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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.