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Finding the Fourth Proportional to 65,164.65, 97,748.81 and 23,038.79

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Solution

The fourth proportional to 65,164.65, 97,748.81 and 23,038.79 is: 34,558.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,164.65 : 97,748.81 = 23,038.79 : x
  2. Step 2: Convert to fraction form
    65,164.65/97,748.81 = 23,038.79/x
  3. Step 3: Cross multiply
    65,164.65x = 97,748.81 × 23,038.79
  4. Step 4: Simplify right side
    65,164.65x = 2,252,013,702.40
  5. Step 5: Solve for x
    x = 2,252,013,702.40/65,164.65
  6. Step 6: Final answer
    x = 34,558.82

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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.