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Finding the Fourth Proportional to 48,114, 66,426.48 and 31,376.16

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Solution

The fourth proportional to 48,114, 66,426.48 and 31,376.16 is: 43,318.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,114 : 66,426.48 = 31,376.16 : x
  2. Step 2: Convert to fraction form
    48,114/66,426.48 = 31,376.16/x
  3. Step 3: Cross multiply
    48,114x = 66,426.48 × 31,376.16
  4. Step 4: Simplify right side
    48,114x = 2,084,207,864.72
  5. Step 5: Solve for x
    x = 2,084,207,864.72/48,114
  6. Step 6: Final answer
    x = 43,318.12

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Why These Related Problems?

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