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Finding the Fourth Proportional to 32,141.94, 48,225.58 and 9,957.04

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Solution

The fourth proportional to 32,141.94, 48,225.58 and 9,957.04 is: 14,939.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,141.94 : 48,225.58 = 9,957.04 : x
  2. Step 2: Convert to fraction form
    32,141.94/48,225.58 = 9,957.04/x
  3. Step 3: Cross multiply
    32,141.94x = 48,225.58 × 9,957.04
  4. Step 4: Simplify right side
    32,141.94x = 480,184,029.08
  5. Step 5: Solve for x
    x = 480,184,029.08/32,141.94
  6. Step 6: Final answer
    x = 14,939.48

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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.