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Finding the Fourth Proportional to 30,088.56, 45,134.40 and 7,902

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Solution

The fourth proportional to 30,088.56, 45,134.40 and 7,902 is: 11,853.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,088.56 : 45,134.40 = 7,902 : x
  2. Step 2: Convert to fraction form
    30,088.56/45,134.40 = 7,902/x
  3. Step 3: Cross multiply
    30,088.56x = 45,134.40 × 7,902
  4. Step 4: Simplify right side
    30,088.56x = 356,652,028.80
  5. Step 5: Solve for x
    x = 356,652,028.80/30,088.56
  6. Step 6: Final answer
    x = 11,853.41

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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.