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Finding the Fourth Proportional to 65,394, 98,091.91 and 18,646.88

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Solution

The fourth proportional to 65,394, 98,091.91 and 18,646.88 is: 27,970.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,394 : 98,091.91 = 18,646.88 : x
  2. Step 2: Convert to fraction form
    65,394/98,091.91 = 18,646.88/x
  3. Step 3: Cross multiply
    65,394x = 98,091.91 × 18,646.88
  4. Step 4: Simplify right side
    65,394x = 1,829,107,607.59
  5. Step 5: Solve for x
    x = 1,829,107,607.59/65,394
  6. Step 6: Final answer
    x = 27,970.57

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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.