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Finding the Fourth Proportional to 64,970.53, 97,462.17 and 27,011.96

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Solution

The fourth proportional to 64,970.53, 97,462.17 and 27,011.96 is: 40,520.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,970.53 : 97,462.17 = 27,011.96 : x
  2. Step 2: Convert to fraction form
    64,970.53/97,462.17 = 27,011.96/x
  3. Step 3: Cross multiply
    64,970.53x = 97,462.17 × 27,011.96
  4. Step 4: Simplify right side
    64,970.53x = 2,632,643,615.18
  5. Step 5: Solve for x
    x = 2,632,643,615.18/64,970.53
  6. Step 6: Final answer
    x = 40,520.58

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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.