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Finding the Fourth Proportional to 56,032.16, 77,327.84 and 30,881.60

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Solution

The fourth proportional to 56,032.16, 77,327.84 and 30,881.60 is: 42,618.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,032.16 : 77,327.84 = 30,881.60 : x
  2. Step 2: Convert to fraction form
    56,032.16/77,327.84 = 30,881.60/x
  3. Step 3: Cross multiply
    56,032.16x = 77,327.84 × 30,881.60
  4. Step 4: Simplify right side
    56,032.16x = 2,388,007,423.74
  5. Step 5: Solve for x
    x = 2,388,007,423.74/56,032.16
  6. Step 6: Final answer
    x = 42,618.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.