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Finding the Fourth Proportional to 32,415.34, 48,595.27 and 12,439.16

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Solution

The fourth proportional to 32,415.34, 48,595.27 and 12,439.16 is: 18,648.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,415.34 : 48,595.27 = 12,439.16 : x
  2. Step 2: Convert to fraction form
    32,415.34/48,595.27 = 12,439.16/x
  3. Step 3: Cross multiply
    32,415.34x = 48,595.27 × 12,439.16
  4. Step 4: Simplify right side
    32,415.34x = 604,484,513.35
  5. Step 5: Solve for x
    x = 604,484,513.35/32,415.34
  6. Step 6: Final answer
    x = 18,648.10

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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.