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Finding the Fourth Proportional to 83,622.30, 115,404.47 and 47,323.77

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Solution

The fourth proportional to 83,622.30, 115,404.47 and 47,323.77 is: 65,310.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,622.30 : 115,404.47 = 47,323.77 : x
  2. Step 2: Convert to fraction form
    83,622.30/115,404.47 = 47,323.77/x
  3. Step 3: Cross multiply
    83,622.30x = 115,404.47 × 47,323.77
  4. Step 4: Simplify right side
    83,622.30x = 5,461,374,595.25
  5. Step 5: Solve for x
    x = 5,461,374,595.25/83,622.30
  6. Step 6: Final answer
    x = 65,310.03

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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.