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Finding the Fourth Proportional to 32,013.40, 48,020.10 and 16,421.08

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Solution

The fourth proportional to 32,013.40, 48,020.10 and 16,421.08 is: 24,631.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,013.40 : 48,020.10 = 16,421.08 : x
  2. Step 2: Convert to fraction form
    32,013.40/48,020.10 = 16,421.08/x
  3. Step 3: Cross multiply
    32,013.40x = 48,020.10 × 16,421.08
  4. Step 4: Simplify right side
    32,013.40x = 788,541,903.71
  5. Step 5: Solve for x
    x = 788,541,903.71/32,013.40
  6. Step 6: Final answer
    x = 24,631.62

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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.