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Finding the Fourth Proportional to 61,684.34, 85,126.01 and 34,827.06

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Solution

The fourth proportional to 61,684.34, 85,126.01 and 34,827.06 is: 48,062.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,684.34 : 85,126.01 = 34,827.06 : x
  2. Step 2: Convert to fraction form
    61,684.34/85,126.01 = 34,827.06/x
  3. Step 3: Cross multiply
    61,684.34x = 85,126.01 × 34,827.06
  4. Step 4: Simplify right side
    61,684.34x = 2,964,689,096.77
  5. Step 5: Solve for x
    x = 2,964,689,096.77/61,684.34
  6. Step 6: Final answer
    x = 48,062.27

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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.