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Finding the Fourth Proportional to 74,313.84, 102,588.38 and 47,103.52

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Solution

The fourth proportional to 74,313.84, 102,588.38 and 47,103.52 is: 65,025.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,313.84 : 102,588.38 = 47,103.52 : x
  2. Step 2: Convert to fraction form
    74,313.84/102,588.38 = 47,103.52/x
  3. Step 3: Cross multiply
    74,313.84x = 102,588.38 × 47,103.52
  4. Step 4: Simplify right side
    74,313.84x = 4,832,273,809.10
  5. Step 5: Solve for x
    x = 4,832,273,809.10/74,313.84
  6. Step 6: Final answer
    x = 65,025.22

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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.