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Finding the Fourth Proportional to 36,013.60, 54,019.02 and 9,719.02

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Solution

The fourth proportional to 36,013.60, 54,019.02 and 9,719.02 is: 14,578.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,013.60 : 54,019.02 = 9,719.02 : x
  2. Step 2: Convert to fraction form
    36,013.60/54,019.02 = 9,719.02/x
  3. Step 3: Cross multiply
    36,013.60x = 54,019.02 × 9,719.02
  4. Step 4: Simplify right side
    36,013.60x = 525,011,985.06
  5. Step 5: Solve for x
    x = 525,011,985.06/36,013.60
  6. Step 6: Final answer
    x = 14,578.16

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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.