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Finding the Fourth Proportional to 32,021.16, 48,033.12 and 9,835.40

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Solution

The fourth proportional to 32,021.16, 48,033.12 and 9,835.40 is: 14,753.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,021.16 : 48,033.12 = 9,835.40 : x
  2. Step 2: Convert to fraction form
    32,021.16/48,033.12 = 9,835.40/x
  3. Step 3: Cross multiply
    32,021.16x = 48,033.12 × 9,835.40
  4. Step 4: Simplify right side
    32,021.16x = 472,424,948.45
  5. Step 5: Solve for x
    x = 472,424,948.45/32,021.16
  6. Step 6: Final answer
    x = 14,753.52

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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.