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Finding the Fourth Proportional to 32,702.64, 49,061.25 and 9,329.28

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Solution

The fourth proportional to 32,702.64, 49,061.25 and 9,329.28 is: 13,996.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,702.64 : 49,061.25 = 9,329.28 : x
  2. Step 2: Convert to fraction form
    32,702.64/49,061.25 = 9,329.28/x
  3. Step 3: Cross multiply
    32,702.64x = 49,061.25 × 9,329.28
  4. Step 4: Simplify right side
    32,702.64x = 457,706,138.40
  5. Step 5: Solve for x
    x = 457,706,138.40/32,702.64
  6. Step 6: Final answer
    x = 13,996.00

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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.