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Finding the Fourth Proportional to 39,150, 58,733.64 and 14,526

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Solution

The fourth proportional to 39,150, 58,733.64 and 14,526 is: 21,792.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,150 : 58,733.64 = 14,526 : x
  2. Step 2: Convert to fraction form
    39,150/58,733.64 = 14,526/x
  3. Step 3: Cross multiply
    39,150x = 58,733.64 × 14,526
  4. Step 4: Simplify right side
    39,150x = 853,164,854.64
  5. Step 5: Solve for x
    x = 853,164,854.64/39,150
  6. Step 6: Final answer
    x = 21,792.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.