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Finding the Fourth Proportional to 30,488.80, 45,738.28 and 10,497.52

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Solution

The fourth proportional to 30,488.80, 45,738.28 and 10,497.52 is: 15,748.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,488.80 : 45,738.28 = 10,497.52 : x
  2. Step 2: Convert to fraction form
    30,488.80/45,738.28 = 10,497.52/x
  3. Step 3: Cross multiply
    30,488.80x = 45,738.28 × 10,497.52
  4. Step 4: Simplify right side
    30,488.80x = 480,138,509.07
  5. Step 5: Solve for x
    x = 480,138,509.07/30,488.80
  6. Step 6: Final answer
    x = 15,748.03

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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.