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Finding the Fourth Proportional to 65,507.56, 98,282.12 and 23,386.72

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Solution

The fourth proportional to 65,507.56, 98,282.12 and 23,386.72 is: 35,087.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,507.56 : 98,282.12 = 23,386.72 : x
  2. Step 2: Convert to fraction form
    65,507.56/98,282.12 = 23,386.72/x
  3. Step 3: Cross multiply
    65,507.56x = 98,282.12 × 23,386.72
  4. Step 4: Simplify right side
    65,507.56x = 2,298,496,421.45
  5. Step 5: Solve for x
    x = 2,298,496,421.45/65,507.56
  6. Step 6: Final answer
    x = 35,087.50

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Why These Related Problems?

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