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Finding the Fourth Proportional to 65,263.80, 97,899.42 and 18,513

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Solution

The fourth proportional to 65,263.80, 97,899.42 and 18,513 is: 27,770.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,263.80 : 97,899.42 = 18,513 : x
  2. Step 2: Convert to fraction form
    65,263.80/97,899.42 = 18,513/x
  3. Step 3: Cross multiply
    65,263.80x = 97,899.42 × 18,513
  4. Step 4: Simplify right side
    65,263.80x = 1,812,411,962.46
  5. Step 5: Solve for x
    x = 1,812,411,962.46/65,263.80
  6. Step 6: Final answer
    x = 27,770.56

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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.