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Finding the Fourth Proportional to 29,155.80, 43,723 and 10,430.76

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Solution

The fourth proportional to 29,155.80, 43,723 and 10,430.76 is: 15,642.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,155.80 : 43,723 = 10,430.76 : x
  2. Step 2: Convert to fraction form
    29,155.80/43,723 = 10,430.76/x
  3. Step 3: Cross multiply
    29,155.80x = 43,723 × 10,430.76
  4. Step 4: Simplify right side
    29,155.80x = 456,064,119.48
  5. Step 5: Solve for x
    x = 456,064,119.48/29,155.80
  6. Step 6: Final answer
    x = 15,642.31

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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.