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Finding the Fourth Proportional to 46,438.38, 64,083.15 and 26,296.38

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Solution

The fourth proportional to 46,438.38, 64,083.15 and 26,296.38 is: 36,287.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,438.38 : 64,083.15 = 26,296.38 : x
  2. Step 2: Convert to fraction form
    46,438.38/64,083.15 = 26,296.38/x
  3. Step 3: Cross multiply
    46,438.38x = 64,083.15 × 26,296.38
  4. Step 4: Simplify right side
    46,438.38x = 1,685,154,864.00
  5. Step 5: Solve for x
    x = 1,685,154,864.00/46,438.38
  6. Step 6: Final answer
    x = 36,287.98

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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.