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Finding the Fourth Proportional to 34,746.36, 52,119.54 and 13,965

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Solution

The fourth proportional to 34,746.36, 52,119.54 and 13,965 is: 20,947.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,746.36 : 52,119.54 = 13,965 : x
  2. Step 2: Convert to fraction form
    34,746.36/52,119.54 = 13,965/x
  3. Step 3: Cross multiply
    34,746.36x = 52,119.54 × 13,965
  4. Step 4: Simplify right side
    34,746.36x = 727,849,376.10
  5. Step 5: Solve for x
    x = 727,849,376.10/34,746.36
  6. Step 6: Final answer
    x = 20,947.50

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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.