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Finding the Fourth Proportional to 95,672.16, 143,376.48 and 48,827.16

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Solution

The fourth proportional to 95,672.16, 143,376.48 and 48,827.16 is: 73,173.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,672.16 : 143,376.48 = 48,827.16 : x
  2. Step 2: Convert to fraction form
    95,672.16/143,376.48 = 48,827.16/x
  3. Step 3: Cross multiply
    95,672.16x = 143,376.48 × 48,827.16
  4. Step 4: Simplify right side
    95,672.16x = 7,000,666,329.20
  5. Step 5: Solve for x
    x = 7,000,666,329.20/95,672.16
  6. Step 6: Final answer
    x = 73,173.50

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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.