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Finding the Fourth Proportional to 115,307.66, 172,947.17 and 31,074.41

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Solution

The fourth proportional to 115,307.66, 172,947.17 and 31,074.41 is: 46,607.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,307.66 : 172,947.17 = 31,074.41 : x
  2. Step 2: Convert to fraction form
    115,307.66/172,947.17 = 31,074.41/x
  3. Step 3: Cross multiply
    115,307.66x = 172,947.17 × 31,074.41
  4. Step 4: Simplify right side
    115,307.66x = 5,374,230,248.81
  5. Step 5: Solve for x
    x = 5,374,230,248.81/115,307.66
  6. Step 6: Final answer
    x = 46,607.75

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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.