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Finding the Fourth Proportional to 32,007.40, 48,011.10 and 16,415.08

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Solution

The fourth proportional to 32,007.40, 48,011.10 and 16,415.08 is: 24,622.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,007.40 : 48,011.10 = 16,415.08 : x
  2. Step 2: Convert to fraction form
    32,007.40/48,011.10 = 16,415.08/x
  3. Step 3: Cross multiply
    32,007.40x = 48,011.10 × 16,415.08
  4. Step 4: Simplify right side
    32,007.40x = 788,106,047.39
  5. Step 5: Solve for x
    x = 788,106,047.39/32,007.40
  6. Step 6: Final answer
    x = 24,622.62

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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.