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Finding the Fourth Proportional to 30,217, 45,281.70 and 17,041.36

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Solution

The fourth proportional to 30,217, 45,281.70 and 17,041.36 is: 25,537.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,217 : 45,281.70 = 17,041.36 : x
  2. Step 2: Convert to fraction form
    30,217/45,281.70 = 17,041.36/x
  3. Step 3: Cross multiply
    30,217x = 45,281.70 × 17,041.36
  4. Step 4: Simplify right side
    30,217x = 771,661,751.11
  5. Step 5: Solve for x
    x = 771,661,751.11/30,217
  6. Step 6: Final answer
    x = 25,537.34

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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.