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Finding the Fourth Proportional to 38,430.76, 53,034.06 and 24,295.24

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Solution

The fourth proportional to 38,430.76, 53,034.06 and 24,295.24 is: 33,527.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,430.76 : 53,034.06 = 24,295.24 : x
  2. Step 2: Convert to fraction form
    38,430.76/53,034.06 = 24,295.24/x
  3. Step 3: Cross multiply
    38,430.76x = 53,034.06 × 24,295.24
  4. Step 4: Simplify right side
    38,430.76x = 1,288,475,215.87
  5. Step 5: Solve for x
    x = 1,288,475,215.87/38,430.76
  6. Step 6: Final answer
    x = 33,527.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.