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Finding the Fourth Proportional to 53,710.98, 74,112.92 and 31,045.60

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Solution

The fourth proportional to 53,710.98, 74,112.92 and 31,045.60 is: 42,838.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,710.98 : 74,112.92 = 31,045.60 : x
  2. Step 2: Convert to fraction form
    53,710.98/74,112.92 = 31,045.60/x
  3. Step 3: Cross multiply
    53,710.98x = 74,112.92 × 31,045.60
  4. Step 4: Simplify right side
    53,710.98x = 2,300,880,069.15
  5. Step 5: Solve for x
    x = 2,300,880,069.15/53,710.98
  6. Step 6: Final answer
    x = 42,838.17

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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.