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Finding the Fourth Proportional to 83,641.84, 115,387.24 and 53,412.03

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Solution

The fourth proportional to 83,641.84, 115,387.24 and 53,412.03 is: 73,684.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,641.84 : 115,387.24 = 53,412.03 : x
  2. Step 2: Convert to fraction form
    83,641.84/115,387.24 = 53,412.03/x
  3. Step 3: Cross multiply
    83,641.84x = 115,387.24 × 53,412.03
  4. Step 4: Simplify right side
    83,641.84x = 6,163,066,724.50
  5. Step 5: Solve for x
    x = 6,163,066,724.50/83,641.84
  6. Step 6: Final answer
    x = 73,684.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.