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Finding the Fourth Proportional to 39,347.58, 59,021.30 and 12,332

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Solution

The fourth proportional to 39,347.58, 59,021.30 and 12,332 is: 18,497.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,347.58 : 59,021.30 = 12,332 : x
  2. Step 2: Convert to fraction form
    39,347.58/59,021.30 = 12,332/x
  3. Step 3: Cross multiply
    39,347.58x = 59,021.30 × 12,332
  4. Step 4: Simplify right side
    39,347.58x = 727,850,671.60
  5. Step 5: Solve for x
    x = 727,850,671.60/39,347.58
  6. Step 6: Final answer
    x = 18,497.98

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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.