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Finding the Fourth Proportional to 56,575.66, 78,074.43 and 31,083.66

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Solution

The fourth proportional to 56,575.66, 78,074.43 and 31,083.66 is: 42,895.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,575.66 : 78,074.43 = 31,083.66 : x
  2. Step 2: Convert to fraction form
    56,575.66/78,074.43 = 31,083.66/x
  3. Step 3: Cross multiply
    56,575.66x = 78,074.43 × 31,083.66
  4. Step 4: Simplify right side
    56,575.66x = 2,426,839,036.81
  5. Step 5: Solve for x
    x = 2,426,839,036.81/56,575.66
  6. Step 6: Final answer
    x = 42,895.47

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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.