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Finding the Fourth Proportional to 74,421.80, 111,642.38 and 24,507

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Solution

The fourth proportional to 74,421.80, 111,642.38 and 24,507 is: 36,763.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,421.80 : 111,642.38 = 24,507 : x
  2. Step 2: Convert to fraction form
    74,421.80/111,642.38 = 24,507/x
  3. Step 3: Cross multiply
    74,421.80x = 111,642.38 × 24,507
  4. Step 4: Simplify right side
    74,421.80x = 2,736,019,806.66
  5. Step 5: Solve for x
    x = 2,736,019,806.66/74,421.80
  6. Step 6: Final answer
    x = 36,763.69

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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.