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Finding the Fourth Proportional to 48,602, 67,070.76 and 26,246

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Solution

The fourth proportional to 48,602, 67,070.76 and 26,246 is: 36,219.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,602 : 67,070.76 = 26,246 : x
  2. Step 2: Convert to fraction form
    48,602/67,070.76 = 26,246/x
  3. Step 3: Cross multiply
    48,602x = 67,070.76 × 26,246
  4. Step 4: Simplify right side
    48,602x = 1,760,339,166.96
  5. Step 5: Solve for x
    x = 1,760,339,166.96/48,602
  6. Step 6: Final answer
    x = 36,219.48

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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.