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Finding the Fourth Proportional to 61,846, 92,784.36 and 18,070

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Solution

The fourth proportional to 61,846, 92,784.36 and 18,070 is: 27,109.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,846 : 92,784.36 = 18,070 : x
  2. Step 2: Convert to fraction form
    61,846/92,784.36 = 18,070/x
  3. Step 3: Cross multiply
    61,846x = 92,784.36 × 18,070
  4. Step 4: Simplify right side
    61,846x = 1,676,613,385.20
  5. Step 5: Solve for x
    x = 1,676,613,385.20/61,846
  6. Step 6: Final answer
    x = 27,109.49

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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.