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Finding the Fourth Proportional to 65,261.40, 97,895.30 and 34,157.40

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Solution

The fourth proportional to 65,261.40, 97,895.30 and 34,157.40 is: 51,237.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,261.40 : 97,895.30 = 34,157.40 : x
  2. Step 2: Convert to fraction form
    65,261.40/97,895.30 = 34,157.40/x
  3. Step 3: Cross multiply
    65,261.40x = 97,895.30 × 34,157.40
  4. Step 4: Simplify right side
    65,261.40x = 3,343,848,920.22
  5. Step 5: Solve for x
    x = 3,343,848,920.22/65,261.40
  6. Step 6: Final answer
    x = 51,237.77

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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.