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Finding the Fourth Proportional to 55,636.50, 76,778.40 and 30,486

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Solution

The fourth proportional to 55,636.50, 76,778.40 and 30,486 is: 42,070.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,636.50 : 76,778.40 = 30,486 : x
  2. Step 2: Convert to fraction form
    55,636.50/76,778.40 = 30,486/x
  3. Step 3: Cross multiply
    55,636.50x = 76,778.40 × 30,486
  4. Step 4: Simplify right side
    55,636.50x = 2,340,666,302.40
  5. Step 5: Solve for x
    x = 2,340,666,302.40/55,636.50
  6. Step 6: Final answer
    x = 42,070.70

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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.