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Finding the Fourth Proportional to 30,262.88, 45,394.32 and 9,488

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Solution

The fourth proportional to 30,262.88, 45,394.32 and 9,488 is: 14,232

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,262.88 : 45,394.32 = 9,488 : x
  2. Step 2: Convert to fraction form
    30,262.88/45,394.32 = 9,488/x
  3. Step 3: Cross multiply
    30,262.88x = 45,394.32 × 9,488
  4. Step 4: Simplify right side
    30,262.88x = 430,701,308.16
  5. Step 5: Solve for x
    x = 430,701,308.16/30,262.88
  6. Step 6: Final answer
    x = 14,232

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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.