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Finding the Fourth Proportional to 83,858.40, 125,784.80 and 24,695.12

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Solution

The fourth proportional to 83,858.40, 125,784.80 and 24,695.12 is: 37,041.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,858.40 : 125,784.80 = 24,695.12 : x
  2. Step 2: Convert to fraction form
    83,858.40/125,784.80 = 24,695.12/x
  3. Step 3: Cross multiply
    83,858.40x = 125,784.80 × 24,695.12
  4. Step 4: Simplify right side
    83,858.40x = 3,106,270,730.18
  5. Step 5: Solve for x
    x = 3,106,270,730.18/83,858.40
  6. Step 6: Final answer
    x = 37,041.86

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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.