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Finding the Fourth Proportional to 73,277.64, 109,916.16 and 31,151.16

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Solution

The fourth proportional to 73,277.64, 109,916.16 and 31,151.16 is: 46,726.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,277.64 : 109,916.16 = 31,151.16 : x
  2. Step 2: Convert to fraction form
    73,277.64/109,916.16 = 31,151.16/x
  3. Step 3: Cross multiply
    73,277.64x = 109,916.16 × 31,151.16
  4. Step 4: Simplify right side
    73,277.64x = 3,424,015,886.75
  5. Step 5: Solve for x
    x = 3,424,015,886.75/73,277.64
  6. Step 6: Final answer
    x = 46,726.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.