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Finding the Fourth Proportional to 75,501.84, 104,184.06 and 45,288.38

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Solution

The fourth proportional to 75,501.84, 104,184.06 and 45,288.38 is: 62,492.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,501.84 : 104,184.06 = 45,288.38 : x
  2. Step 2: Convert to fraction form
    75,501.84/104,184.06 = 45,288.38/x
  3. Step 3: Cross multiply
    75,501.84x = 104,184.06 × 45,288.38
  4. Step 4: Simplify right side
    75,501.84x = 4,718,327,299.22
  5. Step 5: Solve for x
    x = 4,718,327,299.22/75,501.84
  6. Step 6: Final answer
    x = 62,492.88

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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.