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Finding the Fourth Proportional to 64,728.24, 96,967.98 and 39,695.31

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Solution

The fourth proportional to 64,728.24, 96,967.98 and 39,695.31 is: 59,466.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,728.24 : 96,967.98 = 39,695.31 : x
  2. Step 2: Convert to fraction form
    64,728.24/96,967.98 = 39,695.31/x
  3. Step 3: Cross multiply
    64,728.24x = 96,967.98 × 39,695.31
  4. Step 4: Simplify right side
    64,728.24x = 3,849,174,026.17
  5. Step 5: Solve for x
    x = 3,849,174,026.17/64,728.24
  6. Step 6: Final answer
    x = 59,466.69

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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.