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Finding the Fourth Proportional to 59,544.30, 89,324.40 and 31,465.53

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Solution

The fourth proportional to 59,544.30, 89,324.40 and 31,465.53 is: 47,202.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,544.30 : 89,324.40 = 31,465.53 : x
  2. Step 2: Convert to fraction form
    59,544.30/89,324.40 = 31,465.53/x
  3. Step 3: Cross multiply
    59,544.30x = 89,324.40 × 31,465.53
  4. Step 4: Simplify right side
    59,544.30x = 2,810,639,587.93
  5. Step 5: Solve for x
    x = 2,810,639,587.93/59,544.30
  6. Step 6: Final answer
    x = 47,202.50

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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.