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Finding the Fourth Proportional to 63,827.84, 95,657.28 and 48,980

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Solution

The fourth proportional to 63,827.84, 95,657.28 and 48,980 is: 73,405.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,827.84 : 95,657.28 = 48,980 : x
  2. Step 2: Convert to fraction form
    63,827.84/95,657.28 = 48,980/x
  3. Step 3: Cross multiply
    63,827.84x = 95,657.28 × 48,980
  4. Step 4: Simplify right side
    63,827.84x = 4,685,293,574.40
  5. Step 5: Solve for x
    x = 4,685,293,574.40/63,827.84
  6. Step 6: Final answer
    x = 73,405.17

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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.