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Finding the Fourth Proportional to 56,654.46, 84,905.14 and 21,574.98

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Solution

The fourth proportional to 56,654.46, 84,905.14 and 21,574.98 is: 32,333.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,654.46 : 84,905.14 = 21,574.98 : x
  2. Step 2: Convert to fraction form
    56,654.46/84,905.14 = 21,574.98/x
  3. Step 3: Cross multiply
    56,654.46x = 84,905.14 × 21,574.98
  4. Step 4: Simplify right side
    56,654.46x = 1,831,826,697.40
  5. Step 5: Solve for x
    x = 1,831,826,697.40/56,654.46
  6. Step 6: Final answer
    x = 32,333.32

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Why These Related Problems?

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