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Finding the Fourth Proportional to 53,478.14, 73,807.62 and 30,812.76

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Solution

The fourth proportional to 53,478.14, 73,807.62 and 30,812.76 is: 42,526.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,478.14 : 73,807.62 = 30,812.76 : x
  2. Step 2: Convert to fraction form
    53,478.14/73,807.62 = 30,812.76/x
  3. Step 3: Cross multiply
    53,478.14x = 73,807.62 × 30,812.76
  4. Step 4: Simplify right side
    53,478.14x = 2,274,216,481.23
  5. Step 5: Solve for x
    x = 2,274,216,481.23/53,478.14
  6. Step 6: Final answer
    x = 42,526.10

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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.