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Finding the Fourth Proportional to 30,242.38, 45,376.54 and 10,510.16

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Solution

The fourth proportional to 30,242.38, 45,376.54 and 10,510.16 is: 15,769.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,242.38 : 45,376.54 = 10,510.16 : x
  2. Step 2: Convert to fraction form
    30,242.38/45,376.54 = 10,510.16/x
  3. Step 3: Cross multiply
    30,242.38x = 45,376.54 × 10,510.16
  4. Step 4: Simplify right side
    30,242.38x = 476,914,695.65
  5. Step 5: Solve for x
    x = 476,914,695.65/30,242.38
  6. Step 6: Final answer
    x = 15,769.75

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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.