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Finding the Fourth Proportional to 30,876.40, 42,585.93 and 26,576.81

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Solution

The fourth proportional to 30,876.40, 42,585.93 and 26,576.81 is: 36,655.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,876.40 : 42,585.93 = 26,576.81 : x
  2. Step 2: Convert to fraction form
    30,876.40/42,585.93 = 26,576.81/x
  3. Step 3: Cross multiply
    30,876.40x = 42,585.93 × 26,576.81
  4. Step 4: Simplify right side
    30,876.40x = 1,131,798,294.83
  5. Step 5: Solve for x
    x = 1,131,798,294.83/30,876.40
  6. Step 6: Final answer
    x = 36,655.77

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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.