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Finding the Fourth Proportional to 32,910.54, 45,415.71 and 19,482

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Solution

The fourth proportional to 32,910.54, 45,415.71 and 19,482 is: 26,884.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,910.54 : 45,415.71 = 19,482 : x
  2. Step 2: Convert to fraction form
    32,910.54/45,415.71 = 19,482/x
  3. Step 3: Cross multiply
    32,910.54x = 45,415.71 × 19,482
  4. Step 4: Simplify right side
    32,910.54x = 884,788,862.22
  5. Step 5: Solve for x
    x = 884,788,862.22/32,910.54
  6. Step 6: Final answer
    x = 26,884.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.