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Finding the Fourth Proportional to 56,565, 78,061.32 and 31,416.12

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Solution

The fourth proportional to 56,565, 78,061.32 and 31,416.12 is: 43,355.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,565 : 78,061.32 = 31,416.12 : x
  2. Step 2: Convert to fraction form
    56,565/78,061.32 = 31,416.12/x
  3. Step 3: Cross multiply
    56,565x = 78,061.32 × 31,416.12
  4. Step 4: Simplify right side
    56,565x = 2,452,383,796.48
  5. Step 5: Solve for x
    x = 2,452,383,796.48/56,565
  6. Step 6: Final answer
    x = 43,355.15

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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.