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Finding the Fourth Proportional to 32,159.66, 48,235.12 and 8,465.23

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Solution

The fourth proportional to 32,159.66, 48,235.12 and 8,465.23 is: 12,696.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,159.66 : 48,235.12 = 8,465.23 : x
  2. Step 2: Convert to fraction form
    32,159.66/48,235.12 = 8,465.23/x
  3. Step 3: Cross multiply
    32,159.66x = 48,235.12 × 8,465.23
  4. Step 4: Simplify right side
    32,159.66x = 408,321,111.96
  5. Step 5: Solve for x
    x = 408,321,111.96/32,159.66
  6. Step 6: Final answer
    x = 12,696.68

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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.