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Finding the Fourth Proportional to 97,216, 145,849.92 and 47,968

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Solution

The fourth proportional to 97,216, 145,849.92 and 47,968 is: 71,964.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,216 : 145,849.92 = 47,968 : x
  2. Step 2: Convert to fraction form
    97,216/145,849.92 = 47,968/x
  3. Step 3: Cross multiply
    97,216x = 145,849.92 × 47,968
  4. Step 4: Simplify right side
    97,216x = 6,996,128,962.56
  5. Step 5: Solve for x
    x = 6,996,128,962.56/97,216
  6. Step 6: Final answer
    x = 71,964.79

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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.