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Finding the Fourth Proportional to 46,434, 64,078.92 and 26,562

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Solution

The fourth proportional to 46,434, 64,078.92 and 26,562 is: 36,655.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,434 : 64,078.92 = 26,562 : x
  2. Step 2: Convert to fraction form
    46,434/64,078.92 = 26,562/x
  3. Step 3: Cross multiply
    46,434x = 64,078.92 × 26,562
  4. Step 4: Simplify right side
    46,434x = 1,702,064,273.04
  5. Step 5: Solve for x
    x = 1,702,064,273.04/46,434
  6. Step 6: Final answer
    x = 36,655.56

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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.