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Finding the Fourth Proportional to 52,058.16, 78,075.54 and 23,951.22

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Solution

The fourth proportional to 52,058.16, 78,075.54 and 23,951.22 is: 35,921.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,058.16 : 78,075.54 = 23,951.22 : x
  2. Step 2: Convert to fraction form
    52,058.16/78,075.54 = 23,951.22/x
  3. Step 3: Cross multiply
    52,058.16x = 78,075.54 × 23,951.22
  4. Step 4: Simplify right side
    52,058.16x = 1,870,004,435.16
  5. Step 5: Solve for x
    x = 1,870,004,435.16/52,058.16
  6. Step 6: Final answer
    x = 35,921.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.