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Finding the Fourth Proportional to 32,897.84, 49,345.32 and 9,523.76

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Solution

The fourth proportional to 32,897.84, 49,345.32 and 9,523.76 is: 14,285.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,897.84 : 49,345.32 = 9,523.76 : x
  2. Step 2: Convert to fraction form
    32,897.84/49,345.32 = 9,523.76/x
  3. Step 3: Cross multiply
    32,897.84x = 49,345.32 × 9,523.76
  4. Step 4: Simplify right side
    32,897.84x = 469,952,984.80
  5. Step 5: Solve for x
    x = 469,952,984.80/32,897.84
  6. Step 6: Final answer
    x = 14,285.22

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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.