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Finding the Fourth Proportional to 53,368.92, 73,593.72 and 45,840

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Solution

The fourth proportional to 53,368.92, 73,593.72 and 45,840 is: 63,211.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,368.92 : 73,593.72 = 45,840 : x
  2. Step 2: Convert to fraction form
    53,368.92/73,593.72 = 45,840/x
  3. Step 3: Cross multiply
    53,368.92x = 73,593.72 × 45,840
  4. Step 4: Simplify right side
    53,368.92x = 3,373,536,124.80
  5. Step 5: Solve for x
    x = 3,373,536,124.80/53,368.92
  6. Step 6: Final answer
    x = 63,211.62

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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.