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Finding the Fourth Proportional to 32,505.40, 48,759.90 and 9,130

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Solution

The fourth proportional to 32,505.40, 48,759.90 and 9,130 is: 13,695.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,505.40 : 48,759.90 = 9,130 : x
  2. Step 2: Convert to fraction form
    32,505.40/48,759.90 = 9,130/x
  3. Step 3: Cross multiply
    32,505.40x = 48,759.90 × 9,130
  4. Step 4: Simplify right side
    32,505.40x = 445,177,887
  5. Step 5: Solve for x
    x = 445,177,887/32,505.40
  6. Step 6: Final answer
    x = 13,695.51

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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.