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Finding the Fourth Proportional to 83,709, 125,582.01 and 27,566.40

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Solution

The fourth proportional to 83,709, 125,582.01 and 27,566.40 is: 41,355.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,709 : 125,582.01 = 27,566.40 : x
  2. Step 2: Convert to fraction form
    83,709/125,582.01 = 27,566.40/x
  3. Step 3: Cross multiply
    83,709x = 125,582.01 × 27,566.40
  4. Step 4: Simplify right side
    83,709x = 3,461,843,920.46
  5. Step 5: Solve for x
    x = 3,461,843,920.46/83,709
  6. Step 6: Final answer
    x = 41,355.70

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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.