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Finding the Fourth Proportional to 56,926.50, 78,558.66 and 31,776

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Solution

The fourth proportional to 56,926.50, 78,558.66 and 31,776 is: 43,850.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,926.50 : 78,558.66 = 31,776 : x
  2. Step 2: Convert to fraction form
    56,926.50/78,558.66 = 31,776/x
  3. Step 3: Cross multiply
    56,926.50x = 78,558.66 × 31,776
  4. Step 4: Simplify right side
    56,926.50x = 2,496,279,980.16
  5. Step 5: Solve for x
    x = 2,496,279,980.16/56,926.50
  6. Step 6: Final answer
    x = 43,850.93

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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.