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Finding the Fourth Proportional to 32,053.01, 48,084.03 and 9,868.19

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Solution

The fourth proportional to 32,053.01, 48,084.03 and 9,868.19 is: 14,803.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,053.01 : 48,084.03 = 9,868.19 : x
  2. Step 2: Convert to fraction form
    32,053.01/48,084.03 = 9,868.19/x
  3. Step 3: Cross multiply
    32,053.01x = 48,084.03 × 9,868.19
  4. Step 4: Simplify right side
    32,053.01x = 474,502,103.59
  5. Step 5: Solve for x
    x = 474,502,103.59/32,053.01
  6. Step 6: Final answer
    x = 14,803.67

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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.