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Finding the Fourth Proportional to 55,925, 83,887.50 and 14,372

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Solution

The fourth proportional to 55,925, 83,887.50 and 14,372 is: 21,558

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,925 : 83,887.50 = 14,372 : x
  2. Step 2: Convert to fraction form
    55,925/83,887.50 = 14,372/x
  3. Step 3: Cross multiply
    55,925x = 83,887.50 × 14,372
  4. Step 4: Simplify right side
    55,925x = 1,205,631,150
  5. Step 5: Solve for x
    x = 1,205,631,150/55,925
  6. Step 6: Final answer
    x = 21,558

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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.