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Finding the Fourth Proportional to 30,509.38, 45,764.88 and 9,732.88

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Solution

The fourth proportional to 30,509.38, 45,764.88 and 9,732.88 is: 14,599.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,509.38 : 45,764.88 = 9,732.88 : x
  2. Step 2: Convert to fraction form
    30,509.38/45,764.88 = 9,732.88/x
  3. Step 3: Cross multiply
    30,509.38x = 45,764.88 × 9,732.88
  4. Step 4: Simplify right side
    30,509.38x = 445,423,807.77
  5. Step 5: Solve for x
    x = 445,423,807.77/30,509.38
  6. Step 6: Final answer
    x = 14,599.57

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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.