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Finding the Fourth Proportional to 66,130, 99,195.54 and 24,577

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Solution

The fourth proportional to 66,130, 99,195.54 and 24,577 is: 36,865.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,130 : 99,195.54 = 24,577 : x
  2. Step 2: Convert to fraction form
    66,130/99,195.54 = 24,577/x
  3. Step 3: Cross multiply
    66,130x = 99,195.54 × 24,577
  4. Step 4: Simplify right side
    66,130x = 2,437,928,786.58
  5. Step 5: Solve for x
    x = 2,437,928,786.58/66,130
  6. Step 6: Final answer
    x = 36,865.70

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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.