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Finding the Fourth Proportional to 34,019.04, 51,031.14 and 9,058.99

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Solution

The fourth proportional to 34,019.04, 51,031.14 and 9,058.99 is: 13,589.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,019.04 : 51,031.14 = 9,058.99 : x
  2. Step 2: Convert to fraction form
    34,019.04/51,031.14 = 9,058.99/x
  3. Step 3: Cross multiply
    34,019.04x = 51,031.14 × 9,058.99
  4. Step 4: Simplify right side
    34,019.04x = 462,290,286.50
  5. Step 5: Solve for x
    x = 462,290,286.50/34,019.04
  6. Step 6: Final answer
    x = 13,589.16

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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.