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Finding the Fourth Proportional to 72,977.66, 109,466.49 and 56,361.93

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Solution

The fourth proportional to 72,977.66, 109,466.49 and 56,361.93 is: 84,542.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,977.66 : 109,466.49 = 56,361.93 : x
  2. Step 2: Convert to fraction form
    72,977.66/109,466.49 = 56,361.93/x
  3. Step 3: Cross multiply
    72,977.66x = 109,466.49 × 56,361.93
  4. Step 4: Simplify right side
    72,977.66x = 6,169,742,646.73
  5. Step 5: Solve for x
    x = 6,169,742,646.73/72,977.66
  6. Step 6: Final answer
    x = 84,542.90

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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.