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Finding the Fourth Proportional to 30,342.76, 45,514.14 and 9,567.88

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Solution

The fourth proportional to 30,342.76, 45,514.14 and 9,567.88 is: 14,351.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,342.76 : 45,514.14 = 9,567.88 : x
  2. Step 2: Convert to fraction form
    30,342.76/45,514.14 = 9,567.88/x
  3. Step 3: Cross multiply
    30,342.76x = 45,514.14 × 9,567.88
  4. Step 4: Simplify right side
    30,342.76x = 435,473,602.25
  5. Step 5: Solve for x
    x = 435,473,602.25/30,342.76
  6. Step 6: Final answer
    x = 14,351.81

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1.5x scale

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.