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Finding the Fourth Proportional to 46,777.52, 64,531.32 and 26,894

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Solution

The fourth proportional to 46,777.52, 64,531.32 and 26,894 is: 37,101.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,777.52 : 64,531.32 = 26,894 : x
  2. Step 2: Convert to fraction form
    46,777.52/64,531.32 = 26,894/x
  3. Step 3: Cross multiply
    46,777.52x = 64,531.32 × 26,894
  4. Step 4: Simplify right side
    46,777.52x = 1,735,505,320.08
  5. Step 5: Solve for x
    x = 1,735,505,320.08/46,777.52
  6. Step 6: Final answer
    x = 37,101.27

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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.