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Finding the Fourth Proportional to 32,785.59, 49,043.05 and 24,828.32

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Solution

The fourth proportional to 32,785.59, 49,043.05 and 24,828.32 is: 37,139.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,785.59 : 49,043.05 = 24,828.32 : x
  2. Step 2: Convert to fraction form
    32,785.59/49,043.05 = 24,828.32/x
  3. Step 3: Cross multiply
    32,785.59x = 49,043.05 × 24,828.32
  4. Step 4: Simplify right side
    32,785.59x = 1,217,656,539.18
  5. Step 5: Solve for x
    x = 1,217,656,539.18/32,785.59
  6. Step 6: Final answer
    x = 37,139.99

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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.