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Finding the Fourth Proportional to 112,754.48, 169,131.72 and 29,642

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Solution

The fourth proportional to 112,754.48, 169,131.72 and 29,642 is: 44,463

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,754.48 : 169,131.72 = 29,642 : x
  2. Step 2: Convert to fraction form
    112,754.48/169,131.72 = 29,642/x
  3. Step 3: Cross multiply
    112,754.48x = 169,131.72 × 29,642
  4. Step 4: Simplify right side
    112,754.48x = 5,013,402,444.24
  5. Step 5: Solve for x
    x = 5,013,402,444.24/112,754.48
  6. Step 6: Final answer
    x = 44,463

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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.