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Finding the Fourth Proportional to 30,432.81, 42,026.04 and 28,776.16

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Solution

The fourth proportional to 30,432.81, 42,026.04 and 28,776.16 is: 39,738.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,432.81 : 42,026.04 = 28,776.16 : x
  2. Step 2: Convert to fraction form
    30,432.81/42,026.04 = 28,776.16/x
  3. Step 3: Cross multiply
    30,432.81x = 42,026.04 × 28,776.16
  4. Step 4: Simplify right side
    30,432.81x = 1,209,348,103.74
  5. Step 5: Solve for x
    x = 1,209,348,103.74/30,432.81
  6. Step 6: Final answer
    x = 39,738.29

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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.