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Finding the Fourth Proportional to 32,574.94, 48,857.19 and 9,203.02

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Solution

The fourth proportional to 32,574.94, 48,857.19 and 9,203.02 is: 13,803.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,574.94 : 48,857.19 = 9,203.02 : x
  2. Step 2: Convert to fraction form
    32,574.94/48,857.19 = 9,203.02/x
  3. Step 3: Cross multiply
    32,574.94x = 48,857.19 × 9,203.02
  4. Step 4: Simplify right side
    32,574.94x = 449,633,696.71
  5. Step 5: Solve for x
    x = 449,633,696.71/32,574.94
  6. Step 6: Final answer
    x = 13,803.06

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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.