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Finding the Fourth Proportional to 30,590.30, 45,882.90 and 9,529.46

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Solution

The fourth proportional to 30,590.30, 45,882.90 and 9,529.46 is: 14,293.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,590.30 : 45,882.90 = 9,529.46 : x
  2. Step 2: Convert to fraction form
    30,590.30/45,882.90 = 9,529.46/x
  3. Step 3: Cross multiply
    30,590.30x = 45,882.90 × 9,529.46
  4. Step 4: Simplify right side
    30,590.30x = 437,239,260.23
  5. Step 5: Solve for x
    x = 437,239,260.23/30,590.30
  6. Step 6: Final answer
    x = 14,293.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.