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Finding the Fourth Proportional to 59,352.86, 89,065.12 and 31,293.66

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Solution

The fourth proportional to 59,352.86, 89,065.12 and 31,293.66 is: 46,959.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,352.86 : 89,065.12 = 31,293.66 : x
  2. Step 2: Convert to fraction form
    59,352.86/89,065.12 = 31,293.66/x
  3. Step 3: Cross multiply
    59,352.86x = 89,065.12 × 31,293.66
  4. Step 4: Simplify right side
    59,352.86x = 2,787,173,583.14
  5. Step 5: Solve for x
    x = 2,787,173,583.14/59,352.86
  6. Step 6: Final answer
    x = 46,959.38

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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.