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Finding the Fourth Proportional to 99,832.32, 137,768.91 and 54,510.69

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Solution

The fourth proportional to 99,832.32, 137,768.91 and 54,510.69 is: 75,224.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,832.32 : 137,768.91 = 54,510.69 : x
  2. Step 2: Convert to fraction form
    99,832.32/137,768.91 = 54,510.69/x
  3. Step 3: Cross multiply
    99,832.32x = 137,768.91 × 54,510.69
  4. Step 4: Simplify right side
    99,832.32x = 7,509,878,344.65
  5. Step 5: Solve for x
    x = 7,509,878,344.65/99,832.32
  6. Step 6: Final answer
    x = 75,224.92

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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.