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Finding the Fourth Proportional to 32,307.54, 48,441.47 and 12,563.08

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Solution

The fourth proportional to 32,307.54, 48,441.47 and 12,563.08 is: 18,836.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,307.54 : 48,441.47 = 12,563.08 : x
  2. Step 2: Convert to fraction form
    32,307.54/48,441.47 = 12,563.08/x
  3. Step 3: Cross multiply
    32,307.54x = 48,441.47 × 12,563.08
  4. Step 4: Simplify right side
    32,307.54x = 608,574,062.93
  5. Step 5: Solve for x
    x = 608,574,062.93/32,307.54
  6. Step 6: Final answer
    x = 18,836.91

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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.