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Finding the Fourth Proportional to 32,378.91, 48,539.55 and 12,652.98

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Solution

The fourth proportional to 32,378.91, 48,539.55 and 12,652.98 is: 18,968.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,378.91 : 48,539.55 = 12,652.98 : x
  2. Step 2: Convert to fraction form
    32,378.91/48,539.55 = 12,652.98/x
  3. Step 3: Cross multiply
    32,378.91x = 48,539.55 × 12,652.98
  4. Step 4: Simplify right side
    32,378.91x = 614,169,955.36
  5. Step 5: Solve for x
    x = 614,169,955.36/32,378.91
  6. Step 6: Final answer
    x = 18,968.21

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Why These Related Problems?

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