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Finding the Fourth Proportional to 89,428, 123,410.64 and 49,684

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Solution

The fourth proportional to 89,428, 123,410.64 and 49,684 is: 68,563.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,428 : 123,410.64 = 49,684 : x
  2. Step 2: Convert to fraction form
    89,428/123,410.64 = 49,684/x
  3. Step 3: Cross multiply
    89,428x = 123,410.64 × 49,684
  4. Step 4: Simplify right side
    89,428x = 6,131,534,237.76
  5. Step 5: Solve for x
    x = 6,131,534,237.76/89,428
  6. Step 6: Final answer
    x = 68,563.92

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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.