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Finding the Fourth Proportional to 56,565, 78,059.70 and 31,416.84

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Solution

The fourth proportional to 56,565, 78,059.70 and 31,416.84 is: 43,355.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,565 : 78,059.70 = 31,416.84 : x
  2. Step 2: Convert to fraction form
    56,565/78,059.70 = 31,416.84/x
  3. Step 3: Cross multiply
    56,565x = 78,059.70 × 31,416.84
  4. Step 4: Simplify right side
    56,565x = 2,452,389,105.35
  5. Step 5: Solve for x
    x = 2,452,389,105.35/56,565
  6. Step 6: Final answer
    x = 43,355.24

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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.