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Finding the Fourth Proportional to 69,828.64, 96,347.12 and 39,607

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Solution

The fourth proportional to 69,828.64, 96,347.12 and 39,607 is: 54,648.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,828.64 : 96,347.12 = 39,607 : x
  2. Step 2: Convert to fraction form
    69,828.64/96,347.12 = 39,607/x
  3. Step 3: Cross multiply
    69,828.64x = 96,347.12 × 39,607
  4. Step 4: Simplify right side
    69,828.64x = 3,816,020,381.84
  5. Step 5: Solve for x
    x = 3,816,020,381.84/69,828.64
  6. Step 6: Final answer
    x = 54,648.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.