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Finding the Fourth Proportional to 30,553.32, 45,829.14 and 9,776.52

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Solution

The fourth proportional to 30,553.32, 45,829.14 and 9,776.52 is: 14,664.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,553.32 : 45,829.14 = 9,776.52 : x
  2. Step 2: Convert to fraction form
    30,553.32/45,829.14 = 9,776.52/x
  3. Step 3: Cross multiply
    30,553.32x = 45,829.14 × 9,776.52
  4. Step 4: Simplify right side
    30,553.32x = 448,049,503.79
  5. Step 5: Solve for x
    x = 448,049,503.79/30,553.32
  6. Step 6: Final answer
    x = 14,664.51

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1.5x scale

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.