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Finding the Fourth Proportional to 56,361.48, 77,778.69 and 32,488.02

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Solution

The fourth proportional to 56,361.48, 77,778.69 and 32,488.02 is: 44,833.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,361.48 : 77,778.69 = 32,488.02 : x
  2. Step 2: Convert to fraction form
    56,361.48/77,778.69 = 32,488.02/x
  3. Step 3: Cross multiply
    56,361.48x = 77,778.69 × 32,488.02
  4. Step 4: Simplify right side
    56,361.48x = 2,526,875,636.29
  5. Step 5: Solve for x
    x = 2,526,875,636.29/56,361.48
  6. Step 6: Final answer
    x = 44,833.38

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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.