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Finding the Fourth Proportional to 77,737.44, 116,663.80 and 57,793.08

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Solution

The fourth proportional to 77,737.44, 116,663.80 and 57,793.08 is: 86,732.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,737.44 : 116,663.80 = 57,793.08 : x
  2. Step 2: Convert to fraction form
    77,737.44/116,663.80 = 57,793.08/x
  3. Step 3: Cross multiply
    77,737.44x = 116,663.80 × 57,793.08
  4. Step 4: Simplify right side
    77,737.44x = 6,742,360,326.50
  5. Step 5: Solve for x
    x = 6,742,360,326.50/77,737.44
  6. Step 6: Final answer
    x = 86,732.47

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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.