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Finding the Fourth Proportional to 32,421.34, 48,653.88 and 12,697.44

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Solution

The fourth proportional to 32,421.34, 48,653.88 and 12,697.44 is: 19,054.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,421.34 : 48,653.88 = 12,697.44 : x
  2. Step 2: Convert to fraction form
    32,421.34/48,653.88 = 12,697.44/x
  3. Step 3: Cross multiply
    32,421.34x = 48,653.88 × 12,697.44
  4. Step 4: Simplify right side
    32,421.34x = 617,779,478.80
  5. Step 5: Solve for x
    x = 617,779,478.80/32,421.34
  6. Step 6: Final answer
    x = 19,054.72

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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.