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Finding the Fourth Proportional to 32,547.52, 48,822.99 and 9,175.78

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Solution

The fourth proportional to 32,547.52, 48,822.99 and 9,175.78 is: 13,764.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,547.52 : 48,822.99 = 9,175.78 : x
  2. Step 2: Convert to fraction form
    32,547.52/48,822.99 = 9,175.78/x
  3. Step 3: Cross multiply
    32,547.52x = 48,822.99 × 9,175.78
  4. Step 4: Simplify right side
    32,547.52x = 447,989,015.18
  5. Step 5: Solve for x
    x = 447,989,015.18/32,547.52
  6. Step 6: Final answer
    x = 13,764.15

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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.