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Finding the Fourth Proportional to 65,266.48, 97,899.80 and 17,881.98

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Solution

The fourth proportional to 65,266.48, 97,899.80 and 17,881.98 is: 26,822.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,266.48 : 97,899.80 = 17,881.98 : x
  2. Step 2: Convert to fraction form
    65,266.48/97,899.80 = 17,881.98/x
  3. Step 3: Cross multiply
    65,266.48x = 97,899.80 × 17,881.98
  4. Step 4: Simplify right side
    65,266.48x = 1,750,641,731.40
  5. Step 5: Solve for x
    x = 1,750,641,731.40/65,266.48
  6. Step 6: Final answer
    x = 26,822.98

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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.