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Finding the Fourth Proportional to 53,106.95, 73,287.57 and 29,233.50

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Solution

The fourth proportional to 53,106.95, 73,287.57 and 29,233.50 is: 40,342.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,106.95 : 73,287.57 = 29,233.50 : x
  2. Step 2: Convert to fraction form
    53,106.95/73,287.57 = 29,233.50/x
  3. Step 3: Cross multiply
    53,106.95x = 73,287.57 × 29,233.50
  4. Step 4: Simplify right side
    53,106.95x = 2,142,452,177.60
  5. Step 5: Solve for x
    x = 2,142,452,177.60/53,106.95
  6. Step 6: Final answer
    x = 40,342.22

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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.