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Finding the Fourth Proportional to 32,059.53, 48,098.97 and 9,570.94

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Solution

The fourth proportional to 32,059.53, 48,098.97 and 9,570.94 is: 14,359.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,059.53 : 48,098.97 = 9,570.94 : x
  2. Step 2: Convert to fraction form
    32,059.53/48,098.97 = 9,570.94/x
  3. Step 3: Cross multiply
    32,059.53x = 48,098.97 × 9,570.94
  4. Step 4: Simplify right side
    32,059.53x = 460,352,235.68
  5. Step 5: Solve for x
    x = 460,352,235.68/32,059.53
  6. Step 6: Final answer
    x = 14,359.29

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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.