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Finding the Fourth Proportional to 30,341.52, 45,514.80 and 9,280.98

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Solution

The fourth proportional to 30,341.52, 45,514.80 and 9,280.98 is: 13,922.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,341.52 : 45,514.80 = 9,280.98 : x
  2. Step 2: Convert to fraction form
    30,341.52/45,514.80 = 9,280.98/x
  3. Step 3: Cross multiply
    30,341.52x = 45,514.80 × 9,280.98
  4. Step 4: Simplify right side
    30,341.52x = 422,421,948.50
  5. Step 5: Solve for x
    x = 422,421,948.50/30,341.52
  6. Step 6: Final answer
    x = 13,922.24

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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.