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Finding the Fourth Proportional to 52,159.52, 78,239.04 and 14,719.52

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Solution

The fourth proportional to 52,159.52, 78,239.04 and 14,719.52 is: 22,079.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,159.52 : 78,239.04 = 14,719.52 : x
  2. Step 2: Convert to fraction form
    52,159.52/78,239.04 = 14,719.52/x
  3. Step 3: Cross multiply
    52,159.52x = 78,239.04 × 14,719.52
  4. Step 4: Simplify right side
    52,159.52x = 1,151,641,114.06
  5. Step 5: Solve for x
    x = 1,151,641,114.06/52,159.52
  6. Step 6: Final answer
    x = 22,079.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.