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Finding the Fourth Proportional to 30,011.50, 45,017.86 and 9,235

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Solution

The fourth proportional to 30,011.50, 45,017.86 and 9,235 is: 13,852.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,011.50 : 45,017.86 = 9,235 : x
  2. Step 2: Convert to fraction form
    30,011.50/45,017.86 = 9,235/x
  3. Step 3: Cross multiply
    30,011.50x = 45,017.86 × 9,235
  4. Step 4: Simplify right side
    30,011.50x = 415,739,937.10
  5. Step 5: Solve for x
    x = 415,739,937.10/30,011.50
  6. Step 6: Final answer
    x = 13,852.69

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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.