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Finding the Fourth Proportional to 32,005.10, 48,007.65 and 32,005.10

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Solution

The fourth proportional to 32,005.10, 48,007.65 and 32,005.10 is: 48,007.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,005.10 : 48,007.65 = 32,005.10 : x
  2. Step 2: Convert to fraction form
    32,005.10/48,007.65 = 32,005.10/x
  3. Step 3: Cross multiply
    32,005.10x = 48,007.65 × 32,005.10
  4. Step 4: Simplify right side
    32,005.10x = 1,536,489,639.02
  5. Step 5: Solve for x
    x = 1,536,489,639.02/32,005.10
  6. Step 6: Final answer
    x = 48,007.65

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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.