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Finding the Fourth Proportional to 65,004.78, 97,510.80 and 18,254

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Solution

The fourth proportional to 65,004.78, 97,510.80 and 18,254 is: 27,382.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,004.78 : 97,510.80 = 18,254 : x
  2. Step 2: Convert to fraction form
    65,004.78/97,510.80 = 18,254/x
  3. Step 3: Cross multiply
    65,004.78x = 97,510.80 × 18,254
  4. Step 4: Simplify right side
    65,004.78x = 1,779,962,143.20
  5. Step 5: Solve for x
    x = 1,779,962,143.20/65,004.78
  6. Step 6: Final answer
    x = 27,382.02

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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.