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Finding the Fourth Proportional to 83,305.63, 114,958.90 and 47,507.16

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Solution

The fourth proportional to 83,305.63, 114,958.90 and 47,507.16 is: 65,558.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,305.63 : 114,958.90 = 47,507.16 : x
  2. Step 2: Convert to fraction form
    83,305.63/114,958.90 = 47,507.16/x
  3. Step 3: Cross multiply
    83,305.63x = 114,958.90 × 47,507.16
  4. Step 4: Simplify right side
    83,305.63x = 5,461,370,833.17
  5. Step 5: Solve for x
    x = 5,461,370,833.17/83,305.63
  6. Step 6: Final answer
    x = 65,558.25

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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.