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Finding the Fourth Proportional to 65,166.50, 97,750.71 and 15,918.50

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Solution

The fourth proportional to 65,166.50, 97,750.71 and 15,918.50 is: 23,877.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,166.50 : 97,750.71 = 15,918.50 : x
  2. Step 2: Convert to fraction form
    65,166.50/97,750.71 = 15,918.50/x
  3. Step 3: Cross multiply
    65,166.50x = 97,750.71 × 15,918.50
  4. Step 4: Simplify right side
    65,166.50x = 1,556,044,677.14
  5. Step 5: Solve for x
    x = 1,556,044,677.14/65,166.50
  6. Step 6: Final answer
    x = 23,877.98

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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.