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Finding the Fourth Proportional to 52,159.68, 71,972.64 and 29,492.64

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Solution

The fourth proportional to 52,159.68, 71,972.64 and 29,492.64 is: 40,695.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,159.68 : 71,972.64 = 29,492.64 : x
  2. Step 2: Convert to fraction form
    52,159.68/71,972.64 = 29,492.64/x
  3. Step 3: Cross multiply
    52,159.68x = 71,972.64 × 29,492.64
  4. Step 4: Simplify right side
    52,159.68x = 2,122,663,161.37
  5. Step 5: Solve for x
    x = 2,122,663,161.37/52,159.68
  6. Step 6: Final answer
    x = 40,695.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.