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Finding the Fourth Proportional to 46,700.78, 64,371.78 and 31,587.92

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Solution

The fourth proportional to 46,700.78, 64,371.78 and 31,587.92 is: 43,540.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,700.78 : 64,371.78 = 31,587.92 : x
  2. Step 2: Convert to fraction form
    46,700.78/64,371.78 = 31,587.92/x
  3. Step 3: Cross multiply
    46,700.78x = 64,371.78 × 31,587.92
  4. Step 4: Simplify right side
    46,700.78x = 2,033,370,916.28
  5. Step 5: Solve for x
    x = 2,033,370,916.28/46,700.78
  6. Step 6: Final answer
    x = 43,540.41

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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.