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Finding the Fourth Proportional to 75,013, 103,602.98 and 51,098.20

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Solution

The fourth proportional to 75,013, 103,602.98 and 51,098.20 is: 70,573.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,013 : 103,602.98 = 51,098.20 : x
  2. Step 2: Convert to fraction form
    75,013/103,602.98 = 51,098.20/x
  3. Step 3: Cross multiply
    75,013x = 103,602.98 × 51,098.20
  4. Step 4: Simplify right side
    75,013x = 5,293,925,792.64
  5. Step 5: Solve for x
    x = 5,293,925,792.64/75,013
  6. Step 6: Final answer
    x = 70,573.44

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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.