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Finding the Fourth Proportional to 66,176.89, 99,184.01 and 30,590.06

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Solution

The fourth proportional to 66,176.89, 99,184.01 and 30,590.06 is: 45,847.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,176.89 : 99,184.01 = 30,590.06 : x
  2. Step 2: Convert to fraction form
    66,176.89/99,184.01 = 30,590.06/x
  3. Step 3: Cross multiply
    66,176.89x = 99,184.01 × 30,590.06
  4. Step 4: Simplify right side
    66,176.89x = 3,034,044,816.94
  5. Step 5: Solve for x
    x = 3,034,044,816.94/66,176.89
  6. Step 6: Final answer
    x = 45,847.50

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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.