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Finding the Fourth Proportional to 32,856.91, 45,326.73 and 21,521.50

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Solution

The fourth proportional to 32,856.91, 45,326.73 and 21,521.50 is: 29,689.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,856.91 : 45,326.73 = 21,521.50 : x
  2. Step 2: Convert to fraction form
    32,856.91/45,326.73 = 21,521.50/x
  3. Step 3: Cross multiply
    32,856.91x = 45,326.73 × 21,521.50
  4. Step 4: Simplify right side
    32,856.91x = 975,499,219.70
  5. Step 5: Solve for x
    x = 975,499,219.70/32,856.91
  6. Step 6: Final answer
    x = 29,689.32

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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.