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Finding the Fourth Proportional to 65,117.50, 97,688.94 and 27,677.14

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Solution

The fourth proportional to 65,117.50, 97,688.94 and 27,677.14 is: 41,521.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,117.50 : 97,688.94 = 27,677.14 : x
  2. Step 2: Convert to fraction form
    65,117.50/97,688.94 = 27,677.14/x
  3. Step 3: Cross multiply
    65,117.50x = 97,688.94 × 27,677.14
  4. Step 4: Simplify right side
    65,117.50x = 2,703,750,468.83
  5. Step 5: Solve for x
    x = 2,703,750,468.83/65,117.50
  6. Step 6: Final answer
    x = 41,521.10

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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.