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Finding the Fourth Proportional to 52,175.53, 72,001.67 and 28,302

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Solution

The fourth proportional to 52,175.53, 72,001.67 and 28,302 is: 39,056.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,175.53 : 72,001.67 = 28,302 : x
  2. Step 2: Convert to fraction form
    52,175.53/72,001.67 = 28,302/x
  3. Step 3: Cross multiply
    52,175.53x = 72,001.67 × 28,302
  4. Step 4: Simplify right side
    52,175.53x = 2,037,791,264.34
  5. Step 5: Solve for x
    x = 2,037,791,264.34/52,175.53
  6. Step 6: Final answer
    x = 39,056.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.