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Finding the Fourth Proportional to 78,644, 108,533.04 and 45,112.16

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Solution

The fourth proportional to 78,644, 108,533.04 and 45,112.16 is: 62,257.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,644 : 108,533.04 = 45,112.16 : x
  2. Step 2: Convert to fraction form
    78,644/108,533.04 = 45,112.16/x
  3. Step 3: Cross multiply
    78,644x = 108,533.04 × 45,112.16
  4. Step 4: Simplify right side
    78,644x = 4,896,159,865.77
  5. Step 5: Solve for x
    x = 4,896,159,865.77/78,644
  6. Step 6: Final answer
    x = 62,257.26

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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.