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Finding the Fourth Proportional to 34,703.42, 52,053.84 and 9,746.10

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Solution

The fourth proportional to 34,703.42, 52,053.84 and 9,746.10 is: 14,618.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,703.42 : 52,053.84 = 9,746.10 : x
  2. Step 2: Convert to fraction form
    34,703.42/52,053.84 = 9,746.10/x
  3. Step 3: Cross multiply
    34,703.42x = 52,053.84 × 9,746.10
  4. Step 4: Simplify right side
    34,703.42x = 507,321,930.02
  5. Step 5: Solve for x
    x = 507,321,930.02/34,703.42
  6. Step 6: Final answer
    x = 14,618.79

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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.