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Finding the Fourth Proportional to 53,817.69, 74,260.01 and 31,152.24

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Solution

The fourth proportional to 53,817.69, 74,260.01 and 31,152.24 is: 42,985.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,817.69 : 74,260.01 = 31,152.24 : x
  2. Step 2: Convert to fraction form
    53,817.69/74,260.01 = 31,152.24/x
  3. Step 3: Cross multiply
    53,817.69x = 74,260.01 × 31,152.24
  4. Step 4: Simplify right side
    53,817.69x = 2,313,365,498.16
  5. Step 5: Solve for x
    x = 2,313,365,498.16/53,817.69
  6. Step 6: Final answer
    x = 42,985.22

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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.