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Finding the Fourth Proportional to 29,557.60, 44,340.45 and 9,834.10

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Solution

The fourth proportional to 29,557.60, 44,340.45 and 9,834.10 is: 14,752.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,557.60 : 44,340.45 = 9,834.10 : x
  2. Step 2: Convert to fraction form
    29,557.60/44,340.45 = 9,834.10/x
  3. Step 3: Cross multiply
    29,557.60x = 44,340.45 × 9,834.10
  4. Step 4: Simplify right side
    29,557.60x = 436,048,419.35
  5. Step 5: Solve for x
    x = 436,048,419.35/29,557.60
  6. Step 6: Final answer
    x = 14,752.50

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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.