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Finding the Fourth Proportional to 30,041.98, 45,031.17 and 10,046.42

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Solution

The fourth proportional to 30,041.98, 45,031.17 and 10,046.42 is: 15,059.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,041.98 : 45,031.17 = 10,046.42 : x
  2. Step 2: Convert to fraction form
    30,041.98/45,031.17 = 10,046.42/x
  3. Step 3: Cross multiply
    30,041.98x = 45,031.17 × 10,046.42
  4. Step 4: Simplify right side
    30,041.98x = 452,402,046.91
  5. Step 5: Solve for x
    x = 452,402,046.91/30,041.98
  6. Step 6: Final answer
    x = 15,059.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.