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Finding the Fourth Proportional to 46,781.52, 64,536.84 and 26,898

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Solution

The fourth proportional to 46,781.52, 64,536.84 and 26,898 is: 37,106.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,781.52 : 64,536.84 = 26,898 : x
  2. Step 2: Convert to fraction form
    46,781.52/64,536.84 = 26,898/x
  3. Step 3: Cross multiply
    46,781.52x = 64,536.84 × 26,898
  4. Step 4: Simplify right side
    46,781.52x = 1,735,911,922.32
  5. Step 5: Solve for x
    x = 1,735,911,922.32/46,781.52
  6. Step 6: Final answer
    x = 37,106.79

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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.