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Finding the Fourth Proportional to 32,292, 44,547.84 and 22,865.76

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Solution

The fourth proportional to 32,292, 44,547.84 and 22,865.76 is: 31,544.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,292 : 44,547.84 = 22,865.76 : x
  2. Step 2: Convert to fraction form
    32,292/44,547.84 = 22,865.76/x
  3. Step 3: Cross multiply
    32,292x = 44,547.84 × 22,865.76
  4. Step 4: Simplify right side
    32,292x = 1,018,620,217.96
  5. Step 5: Solve for x
    x = 1,018,620,217.96/32,292
  6. Step 6: Final answer
    x = 31,544.04

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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.