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Finding the Fourth Proportional to 43,109.88, 64,587.06 and 24,603

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Solution

The fourth proportional to 43,109.88, 64,587.06 and 24,603 is: 36,860.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,109.88 : 64,587.06 = 24,603 : x
  2. Step 2: Convert to fraction form
    43,109.88/64,587.06 = 24,603/x
  3. Step 3: Cross multiply
    43,109.88x = 64,587.06 × 24,603
  4. Step 4: Simplify right side
    43,109.88x = 1,589,035,437.18
  5. Step 5: Solve for x
    x = 1,589,035,437.18/43,109.88
  6. Step 6: Final answer
    x = 36,860.12

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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.