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Finding the Fourth Proportional to 83,599.16, 125,398.74 and 42,017

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Solution

The fourth proportional to 83,599.16, 125,398.74 and 42,017 is: 63,025.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,599.16 : 125,398.74 = 42,017 : x
  2. Step 2: Convert to fraction form
    83,599.16/125,398.74 = 42,017/x
  3. Step 3: Cross multiply
    83,599.16x = 125,398.74 × 42,017
  4. Step 4: Simplify right side
    83,599.16x = 5,268,878,858.58
  5. Step 5: Solve for x
    x = 5,268,878,858.58/83,599.16
  6. Step 6: Final answer
    x = 63,025.50

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1.5x scale

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.