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Finding the Fourth Proportional to 65,051.68, 97,584 and 17,667.58

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Solution

The fourth proportional to 65,051.68, 97,584 and 17,667.58 is: 26,503.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,051.68 : 97,584 = 17,667.58 : x
  2. Step 2: Convert to fraction form
    65,051.68/97,584 = 17,667.58/x
  3. Step 3: Cross multiply
    65,051.68x = 97,584 × 17,667.58
  4. Step 4: Simplify right side
    65,051.68x = 1,724,073,126.72
  5. Step 5: Solve for x
    x = 1,724,073,126.72/65,051.68
  6. Step 6: Final answer
    x = 26,503.13

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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.