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Finding the Fourth Proportional to 83,323.82, 114,991.95 and 47,520.74

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Solution

The fourth proportional to 83,323.82, 114,991.95 and 47,520.74 is: 65,581.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,323.82 : 114,991.95 = 47,520.74 : x
  2. Step 2: Convert to fraction form
    83,323.82/114,991.95 = 47,520.74/x
  3. Step 3: Cross multiply
    83,323.82x = 114,991.95 × 47,520.74
  4. Step 4: Simplify right side
    83,323.82x = 5,464,502,558.04
  5. Step 5: Solve for x
    x = 5,464,502,558.04/83,323.82
  6. Step 6: Final answer
    x = 65,581.52

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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.