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Finding the Fourth Proportional to 37,103.40, 55,674.54 and 14,919.12

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Solution

The fourth proportional to 37,103.40, 55,674.54 and 14,919.12 is: 22,386.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,103.40 : 55,674.54 = 14,919.12 : x
  2. Step 2: Convert to fraction form
    37,103.40/55,674.54 = 14,919.12/x
  3. Step 3: Cross multiply
    37,103.40x = 55,674.54 × 14,919.12
  4. Step 4: Simplify right side
    37,103.40x = 830,615,143.20
  5. Step 5: Solve for x
    x = 830,615,143.20/37,103.40
  6. Step 6: Final answer
    x = 22,386.50

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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.