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Finding the Fourth Proportional to 65,088.50, 97,642.48 and 23,545.22

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Solution

The fourth proportional to 65,088.50, 97,642.48 and 23,545.22 is: 35,321.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,088.50 : 97,642.48 = 23,545.22 : x
  2. Step 2: Convert to fraction form
    65,088.50/97,642.48 = 23,545.22/x
  3. Step 3: Cross multiply
    65,088.50x = 97,642.48 × 23,545.22
  4. Step 4: Simplify right side
    65,088.50x = 2,299,013,672.95
  5. Step 5: Solve for x
    x = 2,299,013,672.95/65,088.50
  6. Step 6: Final answer
    x = 35,321.35

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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.