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Finding the Fourth Proportional to 65,300.46, 97,951.77 and 18,551.58

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Solution

The fourth proportional to 65,300.46, 97,951.77 and 18,551.58 is: 27,827.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,300.46 : 97,951.77 = 18,551.58 : x
  2. Step 2: Convert to fraction form
    65,300.46/97,951.77 = 18,551.58/x
  3. Step 3: Cross multiply
    65,300.46x = 97,951.77 × 18,551.58
  4. Step 4: Simplify right side
    65,300.46x = 1,817,160,097.30
  5. Step 5: Solve for x
    x = 1,817,160,097.30/65,300.46
  6. Step 6: Final answer
    x = 27,827.68

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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.