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Finding the Fourth Proportional to 65,246.93, 97,854.45 and 20,864.50

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Solution

The fourth proportional to 65,246.93, 97,854.45 and 20,864.50 is: 31,291.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,246.93 : 97,854.45 = 20,864.50 : x
  2. Step 2: Convert to fraction form
    65,246.93/97,854.45 = 20,864.50/x
  3. Step 3: Cross multiply
    65,246.93x = 97,854.45 × 20,864.50
  4. Step 4: Simplify right side
    65,246.93x = 2,041,683,849.15
  5. Step 5: Solve for x
    x = 2,041,683,849.15/65,246.93
  6. Step 6: Final answer
    x = 31,291.65

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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.