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Finding the Fourth Proportional to 32,146.23, 44,332.20 and 22,056.87

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Solution

The fourth proportional to 32,146.23, 44,332.20 and 22,056.87 is: 30,418.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,146.23 : 44,332.20 = 22,056.87 : x
  2. Step 2: Convert to fraction form
    32,146.23/44,332.20 = 22,056.87/x
  3. Step 3: Cross multiply
    32,146.23x = 44,332.20 × 22,056.87
  4. Step 4: Simplify right side
    32,146.23x = 977,829,572.21
  5. Step 5: Solve for x
    x = 977,829,572.21/32,146.23
  6. Step 6: Final answer
    x = 30,418.17

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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.