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Finding the Fourth Proportional to 77,182.88, 106,516.86 and 43,191.07

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Solution

The fourth proportional to 77,182.88, 106,516.86 and 43,191.07 is: 59,606.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,182.88 : 106,516.86 = 43,191.07 : x
  2. Step 2: Convert to fraction form
    77,182.88/106,516.86 = 43,191.07/x
  3. Step 3: Cross multiply
    77,182.88x = 106,516.86 × 43,191.07
  4. Step 4: Simplify right side
    77,182.88x = 4,600,577,327.34
  5. Step 5: Solve for x
    x = 4,600,577,327.34/77,182.88
  6. Step 6: Final answer
    x = 59,606.19

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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.