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Finding the Fourth Proportional to 30,778.74, 42,488.84 and 18,030.15

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Solution

The fourth proportional to 30,778.74, 42,488.84 and 18,030.15 is: 24,889.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,778.74 : 42,488.84 = 18,030.15 : x
  2. Step 2: Convert to fraction form
    30,778.74/42,488.84 = 18,030.15/x
  3. Step 3: Cross multiply
    30,778.74x = 42,488.84 × 18,030.15
  4. Step 4: Simplify right side
    30,778.74x = 766,080,068.38
  5. Step 5: Solve for x
    x = 766,080,068.38/30,778.74
  6. Step 6: Final answer
    x = 24,889.91

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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.