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Finding the Fourth Proportional to 35,709.31, 49,280.40 and 19,793.77

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Solution

The fourth proportional to 35,709.31, 49,280.40 and 19,793.77 is: 27,316.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,709.31 : 49,280.40 = 19,793.77 : x
  2. Step 2: Convert to fraction form
    35,709.31/49,280.40 = 19,793.77/x
  3. Step 3: Cross multiply
    35,709.31x = 49,280.40 × 19,793.77
  4. Step 4: Simplify right side
    35,709.31x = 975,444,779.91
  5. Step 5: Solve for x
    x = 975,444,779.91/35,709.31
  6. Step 6: Final answer
    x = 27,316.26

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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.