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Finding the Fourth Proportional to 31,037.25, 46,547.68 and 8,851.89

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Solution

The fourth proportional to 31,037.25, 46,547.68 and 8,851.89 is: 13,275.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,037.25 : 46,547.68 = 8,851.89 : x
  2. Step 2: Convert to fraction form
    31,037.25/46,547.68 = 8,851.89/x
  3. Step 3: Cross multiply
    31,037.25x = 46,547.68 × 8,851.89
  4. Step 4: Simplify right side
    31,037.25x = 412,034,943.12
  5. Step 5: Solve for x
    x = 412,034,943.12/31,037.25
  6. Step 6: Final answer
    x = 13,275.50

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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.