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Finding the Fourth Proportional to 61,733.16, 85,186.71 and 34,878

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Solution

The fourth proportional to 61,733.16, 85,186.71 and 34,878 is: 48,128.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,733.16 : 85,186.71 = 34,878 : x
  2. Step 2: Convert to fraction form
    61,733.16/85,186.71 = 34,878/x
  3. Step 3: Cross multiply
    61,733.16x = 85,186.71 × 34,878
  4. Step 4: Simplify right side
    61,733.16x = 2,971,142,071.38
  5. Step 5: Solve for x
    x = 2,971,142,071.38/61,733.16
  6. Step 6: Final answer
    x = 48,128.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.