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Finding the Fourth Proportional to 46,584, 64,290.78 and 26,446.32

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Solution

The fourth proportional to 46,584, 64,290.78 and 26,446.32 is: 36,498.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,584 : 64,290.78 = 26,446.32 : x
  2. Step 2: Convert to fraction form
    46,584/64,290.78 = 26,446.32/x
  3. Step 3: Cross multiply
    46,584x = 64,290.78 × 26,446.32
  4. Step 4: Simplify right side
    46,584x = 1,700,254,540.93
  5. Step 5: Solve for x
    x = 1,700,254,540.93/46,584
  6. Step 6: Final answer
    x = 36,498.68

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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.