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Finding the Fourth Proportional to 53,206.13, 73,419.01 and 30,539.70

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Solution

The fourth proportional to 53,206.13, 73,419.01 and 30,539.70 is: 42,141.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,206.13 : 73,419.01 = 30,539.70 : x
  2. Step 2: Convert to fraction form
    53,206.13/73,419.01 = 30,539.70/x
  3. Step 3: Cross multiply
    53,206.13x = 73,419.01 × 30,539.70
  4. Step 4: Simplify right side
    53,206.13x = 2,242,194,463.35
  5. Step 5: Solve for x
    x = 2,242,194,463.35/53,206.13
  6. Step 6: Final answer
    x = 42,141.65

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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.