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Finding the Fourth Proportional to 65,004.65, 97,510.62 and 18,253.88

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Solution

The fourth proportional to 65,004.65, 97,510.62 and 18,253.88 is: 27,381.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,004.65 : 97,510.62 = 18,253.88 : x
  2. Step 2: Convert to fraction form
    65,004.65/97,510.62 = 18,253.88/x
  3. Step 3: Cross multiply
    65,004.65x = 97,510.62 × 18,253.88
  4. Step 4: Simplify right side
    65,004.65x = 1,779,947,156.21
  5. Step 5: Solve for x
    x = 1,779,947,156.21/65,004.65
  6. Step 6: Final answer
    x = 27,381.84

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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.