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Finding the Fourth Proportional to 53,798.61, 74,235.69 and 31,138.56

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Solution

The fourth proportional to 53,798.61, 74,235.69 and 31,138.56 is: 42,967.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,798.61 : 74,235.69 = 31,138.56 : x
  2. Step 2: Convert to fraction form
    53,798.61/74,235.69 = 31,138.56/x
  3. Step 3: Cross multiply
    53,798.61x = 74,235.69 × 31,138.56
  4. Step 4: Simplify right side
    53,798.61x = 2,311,592,487.21
  5. Step 5: Solve for x
    x = 2,311,592,487.21/53,798.61
  6. Step 6: Final answer
    x = 42,967.51

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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.