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Finding the Fourth Proportional to 74,966.25, 112,019.66 and 57,097.65

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Solution

The fourth proportional to 74,966.25, 112,019.66 and 57,097.65 is: 85,319.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,966.25 : 112,019.66 = 57,097.65 : x
  2. Step 2: Convert to fraction form
    74,966.25/112,019.66 = 57,097.65/x
  3. Step 3: Cross multiply
    74,966.25x = 112,019.66 × 57,097.65
  4. Step 4: Simplify right side
    74,966.25x = 6,396,059,482.54
  5. Step 5: Solve for x
    x = 6,396,059,482.54/74,966.25
  6. Step 6: Final answer
    x = 85,319.19

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Why These Related Problems?

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