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Finding the Fourth Proportional to 89,946, 134,925.48 and 34,542

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Solution

The fourth proportional to 89,946, 134,925.48 and 34,542 is: 51,815.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,946 : 134,925.48 = 34,542 : x
  2. Step 2: Convert to fraction form
    89,946/134,925.48 = 34,542/x
  3. Step 3: Cross multiply
    89,946x = 134,925.48 × 34,542
  4. Step 4: Simplify right side
    89,946x = 4,660,595,930.16
  5. Step 5: Solve for x
    x = 4,660,595,930.16/89,946
  6. Step 6: Final answer
    x = 51,815.49

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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.