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Finding the Fourth Proportional to 65,004.84, 97,510.89 and 18,254.07

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Solution

The fourth proportional to 65,004.84, 97,510.89 and 18,254.07 is: 27,382.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,004.84 : 97,510.89 = 18,254.07 : x
  2. Step 2: Convert to fraction form
    65,004.84/97,510.89 = 18,254.07/x
  3. Step 3: Cross multiply
    65,004.84x = 97,510.89 × 18,254.07
  4. Step 4: Simplify right side
    65,004.84x = 1,779,970,611.82
  5. Step 5: Solve for x
    x = 1,779,970,611.82/65,004.84
  6. Step 6: Final answer
    x = 27,382.12

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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.