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Finding the Fourth Proportional to 55,842.90, 77,045.82 and 31,965.12

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Solution

The fourth proportional to 55,842.90, 77,045.82 and 31,965.12 is: 44,101.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,842.90 : 77,045.82 = 31,965.12 : x
  2. Step 2: Convert to fraction form
    55,842.90/77,045.82 = 31,965.12/x
  3. Step 3: Cross multiply
    55,842.90x = 77,045.82 × 31,965.12
  4. Step 4: Simplify right side
    55,842.90x = 2,462,778,881.80
  5. Step 5: Solve for x
    x = 2,462,778,881.80/55,842.90
  6. Step 6: Final answer
    x = 44,101.92

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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.