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Finding the Fourth Proportional to 32,702.16, 49,053.80 and 9,329.20

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Solution

The fourth proportional to 32,702.16, 49,053.80 and 9,329.20 is: 13,993.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,702.16 : 49,053.80 = 9,329.20 : x
  2. Step 2: Convert to fraction form
    32,702.16/49,053.80 = 9,329.20/x
  3. Step 3: Cross multiply
    32,702.16x = 49,053.80 × 9,329.20
  4. Step 4: Simplify right side
    32,702.16x = 457,632,710.96
  5. Step 5: Solve for x
    x = 457,632,710.96/32,702.16
  6. Step 6: Final answer
    x = 13,993.96

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1.5x scale

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.