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Finding the Fourth Proportional to 53,626.16, 74,013 and 31,270.16

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Solution

The fourth proportional to 53,626.16, 74,013 and 31,270.16 is: 43,158.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,626.16 : 74,013 = 31,270.16 : x
  2. Step 2: Convert to fraction form
    53,626.16/74,013 = 31,270.16/x
  3. Step 3: Cross multiply
    53,626.16x = 74,013 × 31,270.16
  4. Step 4: Simplify right side
    53,626.16x = 2,314,398,352.08
  5. Step 5: Solve for x
    x = 2,314,398,352.08/53,626.16
  6. Step 6: Final answer
    x = 43,158.01

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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.