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Finding the Fourth Proportional to 65,218.95, 97,823.63 and 20,833.78

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Solution

The fourth proportional to 65,218.95, 97,823.63 and 20,833.78 is: 31,249.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,218.95 : 97,823.63 = 20,833.78 : x
  2. Step 2: Convert to fraction form
    65,218.95/97,823.63 = 20,833.78/x
  3. Step 3: Cross multiply
    65,218.95x = 97,823.63 × 20,833.78
  4. Step 4: Simplify right side
    65,218.95x = 2,038,036,158.68
  5. Step 5: Solve for x
    x = 2,038,036,158.68/65,218.95
  6. Step 6: Final answer
    x = 31,249.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.