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Finding the Fourth Proportional to 57,070.40, 85,193.17 and 50,072

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Solution

The fourth proportional to 57,070.40, 85,193.17 and 50,072 is: 74,746.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,070.40 : 85,193.17 = 50,072 : x
  2. Step 2: Convert to fraction form
    57,070.40/85,193.17 = 50,072/x
  3. Step 3: Cross multiply
    57,070.40x = 85,193.17 × 50,072
  4. Step 4: Simplify right side
    57,070.40x = 4,265,792,408.24
  5. Step 5: Solve for x
    x = 4,265,792,408.24/57,070.40
  6. Step 6: Final answer
    x = 74,746.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.