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Finding the Fourth Proportional to 30,834.56, 46,259.04 and 10,058

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Solution

The fourth proportional to 30,834.56, 46,259.04 and 10,058 is: 15,089.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,834.56 : 46,259.04 = 10,058 : x
  2. Step 2: Convert to fraction form
    30,834.56/46,259.04 = 10,058/x
  3. Step 3: Cross multiply
    30,834.56x = 46,259.04 × 10,058
  4. Step 4: Simplify right side
    30,834.56x = 465,273,424.32
  5. Step 5: Solve for x
    x = 465,273,424.32/30,834.56
  6. Step 6: Final answer
    x = 15,089.35

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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.