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Finding the Fourth Proportional to 32,671.24, 49,001 and 8,655.70

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Solution

The fourth proportional to 32,671.24, 49,001 and 8,655.70 is: 12,982.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,671.24 : 49,001 = 8,655.70 : x
  2. Step 2: Convert to fraction form
    32,671.24/49,001 = 8,655.70/x
  3. Step 3: Cross multiply
    32,671.24x = 49,001 × 8,655.70
  4. Step 4: Simplify right side
    32,671.24x = 424,137,955.70
  5. Step 5: Solve for x
    x = 424,137,955.70/32,671.24
  6. Step 6: Final answer
    x = 12,982.00

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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.