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Finding the Fourth Proportional to 97,746, 134,890.20 and 53,034

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Solution

The fourth proportional to 97,746, 134,890.20 and 53,034 is: 73,187.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,746 : 134,890.20 = 53,034 : x
  2. Step 2: Convert to fraction form
    97,746/134,890.20 = 53,034/x
  3. Step 3: Cross multiply
    97,746x = 134,890.20 × 53,034
  4. Step 4: Simplify right side
    97,746x = 7,153,766,866.80
  5. Step 5: Solve for x
    x = 7,153,766,866.80/97,746
  6. Step 6: Final answer
    x = 73,187.31

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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.