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Finding the Fourth Proportional to 55,021.80, 75,931.90 and 31,147.98

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Solution

The fourth proportional to 55,021.80, 75,931.90 and 31,147.98 is: 42,985.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,021.80 : 75,931.90 = 31,147.98 : x
  2. Step 2: Convert to fraction form
    55,021.80/75,931.90 = 31,147.98/x
  3. Step 3: Cross multiply
    55,021.80x = 75,931.90 × 31,147.98
  4. Step 4: Simplify right side
    55,021.80x = 2,365,125,302.56
  5. Step 5: Solve for x
    x = 2,365,125,302.56/55,021.80
  6. Step 6: Final answer
    x = 42,985.24

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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.