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Finding the Fourth Proportional to 30,101.96, 45,160.71 and 9,041.15

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Solution

The fourth proportional to 30,101.96, 45,160.71 and 9,041.15 is: 13,564.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,101.96 : 45,160.71 = 9,041.15 : x
  2. Step 2: Convert to fraction form
    30,101.96/45,160.71 = 9,041.15/x
  3. Step 3: Cross multiply
    30,101.96x = 45,160.71 × 9,041.15
  4. Step 4: Simplify right side
    30,101.96x = 408,304,832.21
  5. Step 5: Solve for x
    x = 408,304,832.21/30,101.96
  6. Step 6: Final answer
    x = 13,564.06

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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.