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Finding the Fourth Proportional to 30,581.50, 45,878.84 and 9,521.10

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Solution

The fourth proportional to 30,581.50, 45,878.84 and 9,521.10 is: 14,283.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,581.50 : 45,878.84 = 9,521.10 : x
  2. Step 2: Convert to fraction form
    30,581.50/45,878.84 = 9,521.10/x
  3. Step 3: Cross multiply
    30,581.50x = 45,878.84 × 9,521.10
  4. Step 4: Simplify right side
    30,581.50x = 436,817,023.52
  5. Step 5: Solve for x
    x = 436,817,023.52/30,581.50
  6. Step 6: Final answer
    x = 14,283.70

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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.