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Finding the Fourth Proportional to 53,102.32, 73,280.62 and 29,228.48

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Solution

The fourth proportional to 53,102.32, 73,280.62 and 29,228.48 is: 40,334.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,102.32 : 73,280.62 = 29,228.48 : x
  2. Step 2: Convert to fraction form
    53,102.32/73,280.62 = 29,228.48/x
  3. Step 3: Cross multiply
    53,102.32x = 73,280.62 × 29,228.48
  4. Step 4: Simplify right side
    53,102.32x = 2,141,881,136.06
  5. Step 5: Solve for x
    x = 2,141,881,136.06/53,102.32
  6. Step 6: Final answer
    x = 40,334.98

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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.