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Finding the Fourth Proportional to 46,534.74, 64,207.80 and 26,387.10

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Solution

The fourth proportional to 46,534.74, 64,207.80 and 26,387.10 is: 36,408.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,534.74 : 64,207.80 = 26,387.10 : x
  2. Step 2: Convert to fraction form
    46,534.74/64,207.80 = 26,387.10/x
  3. Step 3: Cross multiply
    46,534.74x = 64,207.80 × 26,387.10
  4. Step 4: Simplify right side
    46,534.74x = 1,694,257,639.38
  5. Step 5: Solve for x
    x = 1,694,257,639.38/46,534.74
  6. Step 6: Final answer
    x = 36,408.45

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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.