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Finding the Fourth Proportional to 50,537.76, 75,804.48 and 13,097.76

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Solution

The fourth proportional to 50,537.76, 75,804.48 and 13,097.76 is: 19,646.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,537.76 : 75,804.48 = 13,097.76 : x
  2. Step 2: Convert to fraction form
    50,537.76/75,804.48 = 13,097.76/x
  3. Step 3: Cross multiply
    50,537.76x = 75,804.48 × 13,097.76
  4. Step 4: Simplify right side
    50,537.76x = 992,868,885.96
  5. Step 5: Solve for x
    x = 992,868,885.96/50,537.76
  6. Step 6: Final answer
    x = 19,646.08

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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.