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Finding the Fourth Proportional to 34,051, 51,038.62 and 25,703.94

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Solution

The fourth proportional to 34,051, 51,038.62 and 25,703.94 is: 38,527.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,051 : 51,038.62 = 25,703.94 : x
  2. Step 2: Convert to fraction form
    34,051/51,038.62 = 25,703.94/x
  3. Step 3: Cross multiply
    34,051x = 51,038.62 × 25,703.94
  4. Step 4: Simplify right side
    34,051x = 1,311,893,626.16
  5. Step 5: Solve for x
    x = 1,311,893,626.16/34,051
  6. Step 6: Final answer
    x = 38,527.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.