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Finding the Fourth Proportional to 55,800.50, 77,004.69 and 30,650

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Solution

The fourth proportional to 55,800.50, 77,004.69 and 30,650 is: 42,297

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,800.50 : 77,004.69 = 30,650 : x
  2. Step 2: Convert to fraction form
    55,800.50/77,004.69 = 30,650/x
  3. Step 3: Cross multiply
    55,800.50x = 77,004.69 × 30,650
  4. Step 4: Simplify right side
    55,800.50x = 2,360,193,748.50
  5. Step 5: Solve for x
    x = 2,360,193,748.50/55,800.50
  6. Step 6: Final answer
    x = 42,297

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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.