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Finding the Fourth Proportional to 77,033.34, 115,582.95 and 37,033.11

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Solution

The fourth proportional to 77,033.34, 115,582.95 and 37,033.11 is: 55,565.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,033.34 : 115,582.95 = 37,033.11 : x
  2. Step 2: Convert to fraction form
    77,033.34/115,582.95 = 37,033.11/x
  3. Step 3: Cross multiply
    77,033.34x = 115,582.95 × 37,033.11
  4. Step 4: Simplify right side
    77,033.34x = 4,280,396,101.47
  5. Step 5: Solve for x
    x = 4,280,396,101.47/77,033.34
  6. Step 6: Final answer
    x = 55,565.50

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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.