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Finding the Fourth Proportional to 94,446, 141,678.72 and 27,902.88

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Solution

The fourth proportional to 94,446, 141,678.72 and 27,902.88 is: 41,857.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,446 : 141,678.72 = 27,902.88 : x
  2. Step 2: Convert to fraction form
    94,446/141,678.72 = 27,902.88/x
  3. Step 3: Cross multiply
    94,446x = 141,678.72 × 27,902.88
  4. Step 4: Simplify right side
    94,446x = 3,953,244,322.71
  5. Step 5: Solve for x
    x = 3,953,244,322.71/94,446
  6. Step 6: Final answer
    x = 41,857.19

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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.