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Finding the Fourth Proportional to 35,470.40, 53,212.80 and 12,099.20

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Solution

The fourth proportional to 35,470.40, 53,212.80 and 12,099.20 is: 18,151.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,470.40 : 53,212.80 = 12,099.20 : x
  2. Step 2: Convert to fraction form
    35,470.40/53,212.80 = 12,099.20/x
  3. Step 3: Cross multiply
    35,470.40x = 53,212.80 × 12,099.20
  4. Step 4: Simplify right side
    35,470.40x = 643,832,309.76
  5. Step 5: Solve for x
    x = 643,832,309.76/35,470.40
  6. Step 6: Final answer
    x = 18,151.26

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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.