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Finding the Fourth Proportional to 70,775.18, 97,667.31 and 38,941.10

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Solution

The fourth proportional to 70,775.18, 97,667.31 and 38,941.10 is: 53,737.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,775.18 : 97,667.31 = 38,941.10 : x
  2. Step 2: Convert to fraction form
    70,775.18/97,667.31 = 38,941.10/x
  3. Step 3: Cross multiply
    70,775.18x = 97,667.31 × 38,941.10
  4. Step 4: Simplify right side
    70,775.18x = 3,803,272,485.44
  5. Step 5: Solve for x
    x = 3,803,272,485.44/70,775.18
  6. Step 6: Final answer
    x = 53,737.38

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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.