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Finding the Fourth Proportional to 65,133.86, 97,708.89 and 23,005.40

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Solution

The fourth proportional to 65,133.86, 97,708.89 and 23,005.40 is: 34,510.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,133.86 : 97,708.89 = 23,005.40 : x
  2. Step 2: Convert to fraction form
    65,133.86/97,708.89 = 23,005.40/x
  3. Step 3: Cross multiply
    65,133.86x = 97,708.89 × 23,005.40
  4. Step 4: Simplify right side
    65,133.86x = 2,247,832,098.01
  5. Step 5: Solve for x
    x = 2,247,832,098.01/65,133.86
  6. Step 6: Final answer
    x = 34,510.96

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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.