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Finding the Fourth Proportional to 46,436, 64,081.68 and 26,564

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Solution

The fourth proportional to 46,436, 64,081.68 and 26,564 is: 36,658.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,436 : 64,081.68 = 26,564 : x
  2. Step 2: Convert to fraction form
    46,436/64,081.68 = 26,564/x
  3. Step 3: Cross multiply
    46,436x = 64,081.68 × 26,564
  4. Step 4: Simplify right side
    46,436x = 1,702,265,747.52
  5. Step 5: Solve for x
    x = 1,702,265,747.52/46,436
  6. Step 6: Final answer
    x = 36,658.32

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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.