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Finding the Fourth Proportional to 31,842, 47,426.64 and 30,176.64

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Solution

The fourth proportional to 31,842, 47,426.64 and 30,176.64 is: 44,946.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,842 : 47,426.64 = 30,176.64 : x
  2. Step 2: Convert to fraction form
    31,842/47,426.64 = 30,176.64/x
  3. Step 3: Cross multiply
    31,842x = 47,426.64 × 30,176.64
  4. Step 4: Simplify right side
    31,842x = 1,431,176,641.69
  5. Step 5: Solve for x
    x = 1,431,176,641.69/31,842
  6. Step 6: Final answer
    x = 44,946.19

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.