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Finding the Fourth Proportional to 32,417.64, 48,615.90 and 12,426.06

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Solution

The fourth proportional to 32,417.64, 48,615.90 and 12,426.06 is: 18,635.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,417.64 : 48,615.90 = 12,426.06 : x
  2. Step 2: Convert to fraction form
    32,417.64/48,615.90 = 12,426.06/x
  3. Step 3: Cross multiply
    32,417.64x = 48,615.90 × 12,426.06
  4. Step 4: Simplify right side
    32,417.64x = 604,103,952.60
  5. Step 5: Solve for x
    x = 604,103,952.60/32,417.64
  6. Step 6: Final answer
    x = 18,635.04

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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.