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Finding the Fourth Proportional to 83,677.72, 115,446.74 and 53,480.47

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Solution

The fourth proportional to 83,677.72, 115,446.74 and 53,480.47 is: 73,784.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,677.72 : 115,446.74 = 53,480.47 : x
  2. Step 2: Convert to fraction form
    83,677.72/115,446.74 = 53,480.47/x
  3. Step 3: Cross multiply
    83,677.72x = 115,446.74 × 53,480.47
  4. Step 4: Simplify right side
    83,677.72x = 6,174,145,647.77
  5. Step 5: Solve for x
    x = 6,174,145,647.77/83,677.72
  6. Step 6: Final answer
    x = 73,784.82

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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.