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Finding the Fourth Proportional to 29,041.28, 43,570.40 and 9,319.40

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Solution

The fourth proportional to 29,041.28, 43,570.40 and 9,319.40 is: 13,981.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,041.28 : 43,570.40 = 9,319.40 : x
  2. Step 2: Convert to fraction form
    29,041.28/43,570.40 = 9,319.40/x
  3. Step 3: Cross multiply
    29,041.28x = 43,570.40 × 9,319.40
  4. Step 4: Simplify right side
    29,041.28x = 406,049,985.76
  5. Step 5: Solve for x
    x = 406,049,985.76/29,041.28
  6. Step 6: Final answer
    x = 13,981.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.