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Finding the Fourth Proportional to 30,248.24, 41,739.72 and 28,019.12

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Solution

The fourth proportional to 30,248.24, 41,739.72 and 28,019.12 is: 38,663.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,248.24 : 41,739.72 = 28,019.12 : x
  2. Step 2: Convert to fraction form
    30,248.24/41,739.72 = 28,019.12/x
  3. Step 3: Cross multiply
    30,248.24x = 41,739.72 × 28,019.12
  4. Step 4: Simplify right side
    30,248.24x = 1,169,510,223.45
  5. Step 5: Solve for x
    x = 1,169,510,223.45/30,248.24
  6. Step 6: Final answer
    x = 38,663.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.