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Finding the Fourth Proportional to 32,677.53, 49,018.10 and 9,302.14

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Solution

The fourth proportional to 32,677.53, 49,018.10 and 9,302.14 is: 13,953.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,677.53 : 49,018.10 = 9,302.14 : x
  2. Step 2: Convert to fraction form
    32,677.53/49,018.10 = 9,302.14/x
  3. Step 3: Cross multiply
    32,677.53x = 49,018.10 × 9,302.14
  4. Step 4: Simplify right side
    32,677.53x = 455,973,243.50
  5. Step 5: Solve for x
    x = 455,973,243.50/32,677.53
  6. Step 6: Final answer
    x = 13,953.73

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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.