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Finding the Fourth Proportional to 83,574.72, 125,282.16 and 30,970.08

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Solution

The fourth proportional to 83,574.72, 125,282.16 and 30,970.08 is: 46,425.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,574.72 : 125,282.16 = 30,970.08 : x
  2. Step 2: Convert to fraction form
    83,574.72/125,282.16 = 30,970.08/x
  3. Step 3: Cross multiply
    83,574.72x = 125,282.16 × 30,970.08
  4. Step 4: Simplify right side
    83,574.72x = 3,879,998,517.77
  5. Step 5: Solve for x
    x = 3,879,998,517.77/83,574.72
  6. Step 6: Final answer
    x = 46,425.50

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