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Finding the Fourth Proportional to 46,658.48, 64,389.54 and 25,438.64

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Solution

The fourth proportional to 46,658.48, 64,389.54 and 25,438.64 is: 35,105.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,658.48 : 64,389.54 = 25,438.64 : x
  2. Step 2: Convert to fraction form
    46,658.48/64,389.54 = 25,438.64/x
  3. Step 3: Cross multiply
    46,658.48x = 64,389.54 × 25,438.64
  4. Step 4: Simplify right side
    46,658.48x = 1,637,982,327.83
  5. Step 5: Solve for x
    x = 1,637,982,327.83/46,658.48
  6. Step 6: Final answer
    x = 35,105.78

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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.