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Finding the Fourth Proportional to 51,135.32, 70,548.01 and 30,977.66

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Solution

The fourth proportional to 51,135.32, 70,548.01 and 30,977.66 is: 42,737.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,135.32 : 70,548.01 = 30,977.66 : x
  2. Step 2: Convert to fraction form
    51,135.32/70,548.01 = 30,977.66/x
  3. Step 3: Cross multiply
    51,135.32x = 70,548.01 × 30,977.66
  4. Step 4: Simplify right side
    51,135.32x = 2,185,411,837.27
  5. Step 5: Solve for x
    x = 2,185,411,837.27/51,135.32
  6. Step 6: Final answer
    x = 42,737.82

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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.