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Finding the Fourth Proportional to 56,132.32, 77,476.08 and 33,772

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Solution

The fourth proportional to 56,132.32, 77,476.08 and 33,772 is: 46,613.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,132.32 : 77,476.08 = 33,772 : x
  2. Step 2: Convert to fraction form
    56,132.32/77,476.08 = 33,772/x
  3. Step 3: Cross multiply
    56,132.32x = 77,476.08 × 33,772
  4. Step 4: Simplify right side
    56,132.32x = 2,616,522,173.76
  5. Step 5: Solve for x
    x = 2,616,522,173.76/56,132.32
  6. Step 6: Final answer
    x = 46,613.47

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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.