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Finding the Fourth Proportional to 32,011.98, 48,024.15 and 12,289.02

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Solution

The fourth proportional to 32,011.98, 48,024.15 and 12,289.02 is: 18,435.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,011.98 : 48,024.15 = 12,289.02 : x
  2. Step 2: Convert to fraction form
    32,011.98/48,024.15 = 12,289.02/x
  3. Step 3: Cross multiply
    32,011.98x = 48,024.15 × 12,289.02
  4. Step 4: Simplify right side
    32,011.98x = 590,169,739.83
  5. Step 5: Solve for x
    x = 590,169,739.83/32,011.98
  6. Step 6: Final answer
    x = 18,435.90

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1.5x scale

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.