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Finding the Fourth Proportional to 105,637.68, 145,781.15 and 57,890

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Solution

The fourth proportional to 105,637.68, 145,781.15 and 57,890 is: 79,888.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,637.68 : 145,781.15 = 57,890 : x
  2. Step 2: Convert to fraction form
    105,637.68/145,781.15 = 57,890/x
  3. Step 3: Cross multiply
    105,637.68x = 145,781.15 × 57,890
  4. Step 4: Simplify right side
    105,637.68x = 8,439,270,484.05
  5. Step 5: Solve for x
    x = 8,439,270,484.05/105,637.68
  6. Step 6: Final answer
    x = 79,888.83

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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.