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Finding the Fourth Proportional to 77,086.17, 106,370.75 and 43,091.08

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Solution

The fourth proportional to 77,086.17, 106,370.75 and 43,091.08 is: 59,461.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,086.17 : 106,370.75 = 43,091.08 : x
  2. Step 2: Convert to fraction form
    77,086.17/106,370.75 = 43,091.08/x
  3. Step 3: Cross multiply
    77,086.17x = 106,370.75 × 43,091.08
  4. Step 4: Simplify right side
    77,086.17x = 4,583,630,339.71
  5. Step 5: Solve for x
    x = 4,583,630,339.71/77,086.17
  6. Step 6: Final answer
    x = 59,461.12

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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.