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Finding the Fourth Proportional to 65,294.51, 97,810.53 and 34,064.15

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Solution

The fourth proportional to 65,294.51, 97,810.53 and 34,064.15 is: 51,027.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,294.51 : 97,810.53 = 34,064.15 : x
  2. Step 2: Convert to fraction form
    65,294.51/97,810.53 = 34,064.15/x
  3. Step 3: Cross multiply
    65,294.51x = 97,810.53 × 34,064.15
  4. Step 4: Simplify right side
    65,294.51x = 3,331,832,076.45
  5. Step 5: Solve for x
    x = 3,331,832,076.45/65,294.51
  6. Step 6: Final answer
    x = 51,027.76

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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.