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Finding the Fourth Proportional to 30,883.06, 42,624.93 and 17,454.88

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Solution

The fourth proportional to 30,883.06, 42,624.93 and 17,454.88 is: 24,091.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,883.06 : 42,624.93 = 17,454.88 : x
  2. Step 2: Convert to fraction form
    30,883.06/42,624.93 = 17,454.88/x
  3. Step 3: Cross multiply
    30,883.06x = 42,624.93 × 17,454.88
  4. Step 4: Simplify right side
    30,883.06x = 744,013,038.16
  5. Step 5: Solve for x
    x = 744,013,038.16/30,883.06
  6. Step 6: Final answer
    x = 24,091.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.