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Finding the Fourth Proportional to 64,307.94, 96,461.94 and 34,739.70

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Solution

The fourth proportional to 64,307.94, 96,461.94 and 34,739.70 is: 52,109.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,307.94 : 96,461.94 = 34,739.70 : x
  2. Step 2: Convert to fraction form
    64,307.94/96,461.94 = 34,739.70/x
  3. Step 3: Cross multiply
    64,307.94x = 96,461.94 × 34,739.70
  4. Step 4: Simplify right side
    64,307.94x = 3,351,058,857.02
  5. Step 5: Solve for x
    x = 3,351,058,857.02/64,307.94
  6. Step 6: Final answer
    x = 52,109.57

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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.