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Finding the Fourth Proportional to 30,595.28, 45,897.08 and 9,536.80

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Solution

The fourth proportional to 30,595.28, 45,897.08 and 9,536.80 is: 14,306.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,595.28 : 45,897.08 = 9,536.80 : x
  2. Step 2: Convert to fraction form
    30,595.28/45,897.08 = 9,536.80/x
  3. Step 3: Cross multiply
    30,595.28x = 45,897.08 × 9,536.80
  4. Step 4: Simplify right side
    30,595.28x = 437,711,272.54
  5. Step 5: Solve for x
    x = 437,711,272.54/30,595.28
  6. Step 6: Final answer
    x = 14,306.50

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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.