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Finding the Fourth Proportional to 78,487, 117,730.52 and 23,083

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Solution

The fourth proportional to 78,487, 117,730.52 and 23,083 is: 34,624.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,487 : 117,730.52 = 23,083 : x
  2. Step 2: Convert to fraction form
    78,487/117,730.52 = 23,083/x
  3. Step 3: Cross multiply
    78,487x = 117,730.52 × 23,083
  4. Step 4: Simplify right side
    78,487x = 2,717,573,593.16
  5. Step 5: Solve for x
    x = 2,717,573,593.16/78,487
  6. Step 6: Final answer
    x = 34,624.51

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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.