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Finding the Fourth Proportional to 132,386.81, 198,578.49 and 32,547.88

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Solution

The fourth proportional to 132,386.81, 198,578.49 and 32,547.88 is: 48,821.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,386.81 : 198,578.49 = 32,547.88 : x
  2. Step 2: Convert to fraction form
    132,386.81/198,578.49 = 32,547.88/x
  3. Step 3: Cross multiply
    132,386.81x = 198,578.49 × 32,547.88
  4. Step 4: Simplify right side
    132,386.81x = 6,463,307,872.27
  5. Step 5: Solve for x
    x = 6,463,307,872.27/132,386.81
  6. Step 6: Final answer
    x = 48,821.39

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Why These Related Problems?

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