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Finding the Fourth Proportional to 34,522.68, 47,595.42 and 22,565.46

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Solution

The fourth proportional to 34,522.68, 47,595.42 and 22,565.46 is: 31,110.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,522.68 : 47,595.42 = 22,565.46 : x
  2. Step 2: Convert to fraction form
    34,522.68/47,595.42 = 22,565.46/x
  3. Step 3: Cross multiply
    34,522.68x = 47,595.42 × 22,565.46
  4. Step 4: Simplify right side
    34,522.68x = 1,074,012,546.19
  5. Step 5: Solve for x
    x = 1,074,012,546.19/34,522.68
  6. Step 6: Final answer
    x = 31,110.35

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