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Finding the Fourth Proportional to 53,205.28, 73,423.75 and 29,332.80

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Solution

The fourth proportional to 53,205.28, 73,423.75 and 29,332.80 is: 40,479.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,205.28 : 73,423.75 = 29,332.80 : x
  2. Step 2: Convert to fraction form
    53,205.28/73,423.75 = 29,332.80/x
  3. Step 3: Cross multiply
    53,205.28x = 73,423.75 × 29,332.80
  4. Step 4: Simplify right side
    53,205.28x = 2,153,724,174
  5. Step 5: Solve for x
    x = 2,153,724,174/53,205.28
  6. Step 6: Final answer
    x = 40,479.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.