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Finding the Fourth Proportional to 53,710.44, 74,114.70 and 31,045.83

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Solution

The fourth proportional to 53,710.44, 74,114.70 and 31,045.83 is: 42,839.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,710.44 : 74,114.70 = 31,045.83 : x
  2. Step 2: Convert to fraction form
    53,710.44/74,114.70 = 31,045.83/x
  3. Step 3: Cross multiply
    53,710.44x = 74,114.70 × 31,045.83
  4. Step 4: Simplify right side
    53,710.44x = 2,300,952,376.70
  5. Step 5: Solve for x
    x = 2,300,952,376.70/53,710.44
  6. Step 6: Final answer
    x = 42,839.95

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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.