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Finding the Fourth Proportional to 55,472.30, 76,533.06 and 31,582.06

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Solution

The fourth proportional to 55,472.30, 76,533.06 and 31,582.06 is: 43,572.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,472.30 : 76,533.06 = 31,582.06 : x
  2. Step 2: Convert to fraction form
    55,472.30/76,533.06 = 31,582.06/x
  3. Step 3: Cross multiply
    55,472.30x = 76,533.06 × 31,582.06
  4. Step 4: Simplify right side
    55,472.30x = 2,417,071,692.90
  5. Step 5: Solve for x
    x = 2,417,071,692.90/55,472.30
  6. Step 6: Final answer
    x = 43,572.59

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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.