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Finding the Fourth Proportional to 52,095.78, 78,156.72 and 15,159.78

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Solution

The fourth proportional to 52,095.78, 78,156.72 and 15,159.78 is: 22,743.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,095.78 : 78,156.72 = 15,159.78 : x
  2. Step 2: Convert to fraction form
    52,095.78/78,156.72 = 15,159.78/x
  3. Step 3: Cross multiply
    52,095.78x = 78,156.72 × 15,159.78
  4. Step 4: Simplify right side
    52,095.78x = 1,184,838,680.72
  5. Step 5: Solve for x
    x = 1,184,838,680.72/52,095.78
  6. Step 6: Final answer
    x = 22,743.47

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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.