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Finding the Fourth Proportional to 34,695.54, 52,040.88 and 9,734.58

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Solution

The fourth proportional to 34,695.54, 52,040.88 and 9,734.58 is: 14,601.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,695.54 : 52,040.88 = 9,734.58 : x
  2. Step 2: Convert to fraction form
    34,695.54/52,040.88 = 9,734.58/x
  3. Step 3: Cross multiply
    34,695.54x = 52,040.88 × 9,734.58
  4. Step 4: Simplify right side
    34,695.54x = 506,596,109.63
  5. Step 5: Solve for x
    x = 506,596,109.63/34,695.54
  6. Step 6: Final answer
    x = 14,601.19

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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.