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Finding the Fourth Proportional to 31,918.60, 47,877.90 and 8,547.40

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Solution

The fourth proportional to 31,918.60, 47,877.90 and 8,547.40 is: 12,821.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,918.60 : 47,877.90 = 8,547.40 : x
  2. Step 2: Convert to fraction form
    31,918.60/47,877.90 = 8,547.40/x
  3. Step 3: Cross multiply
    31,918.60x = 47,877.90 × 8,547.40
  4. Step 4: Simplify right side
    31,918.60x = 409,231,562.46
  5. Step 5: Solve for x
    x = 409,231,562.46/31,918.60
  6. Step 6: Final answer
    x = 12,821.10

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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.