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Finding the Fourth Proportional to 35,738.88, 49,319.64 and 19,823.52

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Solution

The fourth proportional to 35,738.88, 49,319.64 and 19,823.52 is: 27,356.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,738.88 : 49,319.64 = 19,823.52 : x
  2. Step 2: Convert to fraction form
    35,738.88/49,319.64 = 19,823.52/x
  3. Step 3: Cross multiply
    35,738.88x = 49,319.64 × 19,823.52
  4. Step 4: Simplify right side
    35,738.88x = 977,688,869.93
  5. Step 5: Solve for x
    x = 977,688,869.93/35,738.88
  6. Step 6: Final answer
    x = 27,356.45

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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.