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Finding the Fourth Proportional to 42,385.12, 63,580.72 and 11,220

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Solution

The fourth proportional to 42,385.12, 63,580.72 and 11,220 is: 16,830.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,385.12 : 63,580.72 = 11,220 : x
  2. Step 2: Convert to fraction form
    42,385.12/63,580.72 = 11,220/x
  3. Step 3: Cross multiply
    42,385.12x = 63,580.72 × 11,220
  4. Step 4: Simplify right side
    42,385.12x = 713,375,678.40
  5. Step 5: Solve for x
    x = 713,375,678.40/42,385.12
  6. Step 6: Final answer
    x = 16,830.80

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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.