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Finding the Fourth Proportional to 30,483.84, 45,744 and 17,354.88

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Solution

The fourth proportional to 30,483.84, 45,744 and 17,354.88 is: 26,042.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,483.84 : 45,744 = 17,354.88 : x
  2. Step 2: Convert to fraction form
    30,483.84/45,744 = 17,354.88/x
  3. Step 3: Cross multiply
    30,483.84x = 45,744 × 17,354.88
  4. Step 4: Simplify right side
    30,483.84x = 793,881,630.72
  5. Step 5: Solve for x
    x = 793,881,630.72/30,483.84
  6. Step 6: Final answer
    x = 26,042.70

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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.