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Finding the Fourth Proportional to 65,014.10, 97,521.15 and 40,438.10

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Solution

The fourth proportional to 65,014.10, 97,521.15 and 40,438.10 is: 60,657.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,014.10 : 97,521.15 = 40,438.10 : x
  2. Step 2: Convert to fraction form
    65,014.10/97,521.15 = 40,438.10/x
  3. Step 3: Cross multiply
    65,014.10x = 97,521.15 × 40,438.10
  4. Step 4: Simplify right side
    65,014.10x = 3,943,570,015.82
  5. Step 5: Solve for x
    x = 3,943,570,015.82/65,014.10
  6. Step 6: Final answer
    x = 60,657.15

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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.