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Finding the Fourth Proportional to 30,012.50, 45,019.36 and 9,236

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Solution

The fourth proportional to 30,012.50, 45,019.36 and 9,236 is: 13,854.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,012.50 : 45,019.36 = 9,236 : x
  2. Step 2: Convert to fraction form
    30,012.50/45,019.36 = 9,236/x
  3. Step 3: Cross multiply
    30,012.50x = 45,019.36 × 9,236
  4. Step 4: Simplify right side
    30,012.50x = 415,798,808.96
  5. Step 5: Solve for x
    x = 415,798,808.96/30,012.50
  6. Step 6: Final answer
    x = 13,854.19

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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.