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Finding the Fourth Proportional to 40,482.24, 60,726.24 and 12,780

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Solution

The fourth proportional to 40,482.24, 60,726.24 and 12,780 is: 19,170.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,482.24 : 60,726.24 = 12,780 : x
  2. Step 2: Convert to fraction form
    40,482.24/60,726.24 = 12,780/x
  3. Step 3: Cross multiply
    40,482.24x = 60,726.24 × 12,780
  4. Step 4: Simplify right side
    40,482.24x = 776,081,347.20
  5. Step 5: Solve for x
    x = 776,081,347.20/40,482.24
  6. Step 6: Final answer
    x = 19,170.91

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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.