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Finding the Fourth Proportional to 29,357.60, 44,036.40 and 9,631.40

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Solution

The fourth proportional to 29,357.60, 44,036.40 and 9,631.40 is: 14,447.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,357.60 : 44,036.40 = 9,631.40 : x
  2. Step 2: Convert to fraction form
    29,357.60/44,036.40 = 9,631.40/x
  3. Step 3: Cross multiply
    29,357.60x = 44,036.40 × 9,631.40
  4. Step 4: Simplify right side
    29,357.60x = 424,132,182.96
  5. Step 5: Solve for x
    x = 424,132,182.96/29,357.60
  6. Step 6: Final answer
    x = 14,447.10

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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.