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Finding the Fourth Proportional to 35,697.76, 49,263.32 and 19,782.47

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Solution

The fourth proportional to 35,697.76, 49,263.32 and 19,782.47 is: 27,300.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,697.76 : 49,263.32 = 19,782.47 : x
  2. Step 2: Convert to fraction form
    35,697.76/49,263.32 = 19,782.47/x
  3. Step 3: Cross multiply
    35,697.76x = 49,263.32 × 19,782.47
  4. Step 4: Simplify right side
    35,697.76x = 974,550,150.00
  5. Step 5: Solve for x
    x = 974,550,150.00/35,697.76
  6. Step 6: Final answer
    x = 27,300.04

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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.