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Finding the Fourth Proportional to 46,825.84, 64,620 and 26,408.17

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Solution

The fourth proportional to 46,825.84, 64,620 and 26,408.17 is: 36,443.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,825.84 : 64,620 = 26,408.17 : x
  2. Step 2: Convert to fraction form
    46,825.84/64,620 = 26,408.17/x
  3. Step 3: Cross multiply
    46,825.84x = 64,620 × 26,408.17
  4. Step 4: Simplify right side
    46,825.84x = 1,706,495,783.85
  5. Step 5: Solve for x
    x = 1,706,495,783.85/46,825.84
  6. Step 6: Final answer
    x = 36,443.47

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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.