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Finding the Fourth Proportional to 53,056.82, 73,228.80 and 30,410.98

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Solution

The fourth proportional to 53,056.82, 73,228.80 and 30,410.98 is: 41,973.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,056.82 : 73,228.80 = 30,410.98 : x
  2. Step 2: Convert to fraction form
    53,056.82/73,228.80 = 30,410.98/x
  3. Step 3: Cross multiply
    53,056.82x = 73,228.80 × 30,410.98
  4. Step 4: Simplify right side
    53,056.82x = 2,226,959,572.22
  5. Step 5: Solve for x
    x = 2,226,959,572.22/53,056.82
  6. Step 6: Final answer
    x = 41,973.11

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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.