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Finding the Fourth Proportional to 32,426.64, 48,623.76 and 14,881.50

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Solution

The fourth proportional to 32,426.64, 48,623.76 and 14,881.50 is: 22,314.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,426.64 : 48,623.76 = 14,881.50 : x
  2. Step 2: Convert to fraction form
    32,426.64/48,623.76 = 14,881.50/x
  3. Step 3: Cross multiply
    32,426.64x = 48,623.76 × 14,881.50
  4. Step 4: Simplify right side
    32,426.64x = 723,594,484.44
  5. Step 5: Solve for x
    x = 723,594,484.44/32,426.64
  6. Step 6: Final answer
    x = 22,314.82

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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.