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Finding the Fourth Proportional to 53,950.68, 74,455.16 and 30,077.32

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Solution

The fourth proportional to 53,950.68, 74,455.16 and 30,077.32 is: 41,508.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,950.68 : 74,455.16 = 30,077.32 : x
  2. Step 2: Convert to fraction form
    53,950.68/74,455.16 = 30,077.32/x
  3. Step 3: Cross multiply
    53,950.68x = 74,455.16 × 30,077.32
  4. Step 4: Simplify right side
    53,950.68x = 2,239,411,672.97
  5. Step 5: Solve for x
    x = 2,239,411,672.97/53,950.68
  6. Step 6: Final answer
    x = 41,508.50

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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.