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Finding the Fourth Proportional to 34,332, 47,372.68 and 19,225.32

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Solution

The fourth proportional to 34,332, 47,372.68 and 19,225.32 is: 26,527.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,332 : 47,372.68 = 19,225.32 : x
  2. Step 2: Convert to fraction form
    34,332/47,372.68 = 19,225.32/x
  3. Step 3: Cross multiply
    34,332x = 47,372.68 × 19,225.32
  4. Step 4: Simplify right side
    34,332x = 910,754,932.26
  5. Step 5: Solve for x
    x = 910,754,932.26/34,332
  6. Step 6: Final answer
    x = 26,527.87

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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.