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Finding the Fourth Proportional to 65,357.62, 97,878.52 and 37,192.36

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Solution

The fourth proportional to 65,357.62, 97,878.52 and 37,192.36 is: 55,698.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,357.62 : 97,878.52 = 37,192.36 : x
  2. Step 2: Convert to fraction form
    65,357.62/97,878.52 = 37,192.36/x
  3. Step 3: Cross multiply
    65,357.62x = 97,878.52 × 37,192.36
  4. Step 4: Simplify right side
    65,357.62x = 3,640,333,152.11
  5. Step 5: Solve for x
    x = 3,640,333,152.11/65,357.62
  6. Step 6: Final answer
    x = 55,698.68

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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.