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Finding the Fourth Proportional to 37,085.64, 55,297.65 and 32,964.36

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Solution

The fourth proportional to 37,085.64, 55,297.65 and 32,964.36 is: 49,152.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,085.64 : 55,297.65 = 32,964.36 : x
  2. Step 2: Convert to fraction form
    37,085.64/55,297.65 = 32,964.36/x
  3. Step 3: Cross multiply
    37,085.64x = 55,297.65 × 32,964.36
  4. Step 4: Simplify right side
    37,085.64x = 1,822,851,641.75
  5. Step 5: Solve for x
    x = 1,822,851,641.75/37,085.64
  6. Step 6: Final answer
    x = 49,152.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.