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Finding the Fourth Proportional to 30,358.97, 45,543.71 and 9,298.50

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Solution

The fourth proportional to 30,358.97, 45,543.71 and 9,298.50 is: 13,949.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,358.97 : 45,543.71 = 9,298.50 : x
  2. Step 2: Convert to fraction form
    30,358.97/45,543.71 = 9,298.50/x
  3. Step 3: Cross multiply
    30,358.97x = 45,543.71 × 9,298.50
  4. Step 4: Simplify right side
    30,358.97x = 423,488,140.94
  5. Step 5: Solve for x
    x = 423,488,140.94/30,358.97
  6. Step 6: Final answer
    x = 13,949.36

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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.