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Finding the Fourth Proportional to 41,547.80, 57,338.16 and 22,685

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Solution

The fourth proportional to 41,547.80, 57,338.16 and 22,685 is: 31,306.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,547.80 : 57,338.16 = 22,685 : x
  2. Step 2: Convert to fraction form
    41,547.80/57,338.16 = 22,685/x
  3. Step 3: Cross multiply
    41,547.80x = 57,338.16 × 22,685
  4. Step 4: Simplify right side
    41,547.80x = 1,300,716,159.60
  5. Step 5: Solve for x
    x = 1,300,716,159.60/41,547.80
  6. Step 6: Final answer
    x = 31,306.50

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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.