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Finding the Fourth Proportional to 32,970.48, 49,463.91 and 9,596.91

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Solution

The fourth proportional to 32,970.48, 49,463.91 and 9,596.91 is: 14,397.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,970.48 : 49,463.91 = 9,596.91 : x
  2. Step 2: Convert to fraction form
    32,970.48/49,463.91 = 9,596.91/x
  3. Step 3: Cross multiply
    32,970.48x = 49,463.91 × 9,596.91
  4. Step 4: Simplify right side
    32,970.48x = 474,700,692.52
  5. Step 5: Solve for x
    x = 474,700,692.52/32,970.48
  6. Step 6: Final answer
    x = 14,397.75

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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.