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Finding the Fourth Proportional to 46,780.52, 64,535.46 and 26,897

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Solution

The fourth proportional to 46,780.52, 64,535.46 and 26,897 is: 37,105.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,780.52 : 64,535.46 = 26,897 : x
  2. Step 2: Convert to fraction form
    46,780.52/64,535.46 = 26,897/x
  3. Step 3: Cross multiply
    46,780.52x = 64,535.46 × 26,897
  4. Step 4: Simplify right side
    46,780.52x = 1,735,810,267.62
  5. Step 5: Solve for x
    x = 1,735,810,267.62/46,780.52
  6. Step 6: Final answer
    x = 37,105.41

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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.