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Finding the Fourth Proportional to 56,812.32, 78,403.68 and 31,662

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Solution

The fourth proportional to 56,812.32, 78,403.68 and 31,662 is: 43,695.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,812.32 : 78,403.68 = 31,662 : x
  2. Step 2: Convert to fraction form
    56,812.32/78,403.68 = 31,662/x
  3. Step 3: Cross multiply
    56,812.32x = 78,403.68 × 31,662
  4. Step 4: Simplify right side
    56,812.32x = 2,482,417,316.16
  5. Step 5: Solve for x
    x = 2,482,417,316.16/56,812.32
  6. Step 6: Final answer
    x = 43,695.05

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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.