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Finding the Fourth Proportional to 50,547.74, 75,821.92 and 22,461.20

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Solution

The fourth proportional to 50,547.74, 75,821.92 and 22,461.20 is: 33,691.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,547.74 : 75,821.92 = 22,461.20 : x
  2. Step 2: Convert to fraction form
    50,547.74/75,821.92 = 22,461.20/x
  3. Step 3: Cross multiply
    50,547.74x = 75,821.92 × 22,461.20
  4. Step 4: Simplify right side
    50,547.74x = 1,703,050,818.09
  5. Step 5: Solve for x
    x = 1,703,050,818.09/50,547.74
  6. Step 6: Final answer
    x = 33,691.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.