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Finding the Fourth Proportional to 65,040.51, 97,580.41 and 30,872.50

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Solution

The fourth proportional to 65,040.51, 97,580.41 and 30,872.50 is: 46,318.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,040.51 : 97,580.41 = 30,872.50 : x
  2. Step 2: Convert to fraction form
    65,040.51/97,580.41 = 30,872.50/x
  3. Step 3: Cross multiply
    65,040.51x = 97,580.41 × 30,872.50
  4. Step 4: Simplify right side
    65,040.51x = 3,012,551,616.12
  5. Step 5: Solve for x
    x = 3,012,551,616.12/65,040.51
  6. Step 6: Final answer
    x = 46,318.08

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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.