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Finding the Fourth Proportional to 64,871.53, 97,248.74 and 23,308.81

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Solution

The fourth proportional to 64,871.53, 97,248.74 and 23,308.81 is: 34,942.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,871.53 : 97,248.74 = 23,308.81 : x
  2. Step 2: Convert to fraction form
    64,871.53/97,248.74 = 23,308.81/x
  3. Step 3: Cross multiply
    64,871.53x = 97,248.74 × 23,308.81
  4. Step 4: Simplify right side
    64,871.53x = 2,266,752,286.86
  5. Step 5: Solve for x
    x = 2,266,752,286.86/64,871.53
  6. Step 6: Final answer
    x = 34,942.17

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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.