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Finding the Fourth Proportional to 77,536.50, 116,246.35 and 39,591.37

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Solution

The fourth proportional to 77,536.50, 116,246.35 and 39,591.37 is: 59,357.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,536.50 : 116,246.35 = 39,591.37 : x
  2. Step 2: Convert to fraction form
    77,536.50/116,246.35 = 39,591.37/x
  3. Step 3: Cross multiply
    77,536.50x = 116,246.35 × 39,591.37
  4. Step 4: Simplify right side
    77,536.50x = 4,602,352,254.00
  5. Step 5: Solve for x
    x = 4,602,352,254.00/77,536.50
  6. Step 6: Final answer
    x = 59,357.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.