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Finding the Fourth Proportional to 39,726.12, 59,599.02 and 12,024.12

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Solution

The fourth proportional to 39,726.12, 59,599.02 and 12,024.12 is: 18,039.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,726.12 : 59,599.02 = 12,024.12 : x
  2. Step 2: Convert to fraction form
    39,726.12/59,599.02 = 12,024.12/x
  3. Step 3: Cross multiply
    39,726.12x = 59,599.02 × 12,024.12
  4. Step 4: Simplify right side
    39,726.12x = 716,625,768.36
  5. Step 5: Solve for x
    x = 716,625,768.36/39,726.12
  6. Step 6: Final answer
    x = 18,039.16

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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.