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Finding the Fourth Proportional to 29,320, 43,987.02 and 9,598.60

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Solution

The fourth proportional to 29,320, 43,987.02 and 9,598.60 is: 14,400.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,320 : 43,987.02 = 9,598.60 : x
  2. Step 2: Convert to fraction form
    29,320/43,987.02 = 9,598.60/x
  3. Step 3: Cross multiply
    29,320x = 43,987.02 × 9,598.60
  4. Step 4: Simplify right side
    29,320x = 422,213,810.17
  5. Step 5: Solve for x
    x = 422,213,810.17/29,320
  6. Step 6: Final answer
    x = 14,400.20

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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.