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Finding the Fourth Proportional to 46,851.54, 64,686.33 and 27,737.52

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Solution

The fourth proportional to 46,851.54, 64,686.33 and 27,737.52 is: 38,296.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,851.54 : 64,686.33 = 27,737.52 : x
  2. Step 2: Convert to fraction form
    46,851.54/64,686.33 = 27,737.52/x
  3. Step 3: Cross multiply
    46,851.54x = 64,686.33 × 27,737.52
  4. Step 4: Simplify right side
    46,851.54x = 1,794,238,372.10
  5. Step 5: Solve for x
    x = 1,794,238,372.10/46,851.54
  6. Step 6: Final answer
    x = 38,296.25

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Why These Related Problems?

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