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Finding the Fourth Proportional to 32,012.32, 48,032.88 and 20,322.40

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Solution

The fourth proportional to 32,012.32, 48,032.88 and 20,322.40 is: 30,492.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,012.32 : 48,032.88 = 20,322.40 : x
  2. Step 2: Convert to fraction form
    32,012.32/48,032.88 = 20,322.40/x
  3. Step 3: Cross multiply
    32,012.32x = 48,032.88 × 20,322.40
  4. Step 4: Simplify right side
    32,012.32x = 976,143,400.51
  5. Step 5: Solve for x
    x = 976,143,400.51/32,012.32
  6. Step 6: Final answer
    x = 30,492.74

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