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Finding the Fourth Proportional to 33,101.30, 49,653.15 and 9,730.10

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Solution

The fourth proportional to 33,101.30, 49,653.15 and 9,730.10 is: 14,595.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,101.30 : 49,653.15 = 9,730.10 : x
  2. Step 2: Convert to fraction form
    33,101.30/49,653.15 = 9,730.10/x
  3. Step 3: Cross multiply
    33,101.30x = 49,653.15 × 9,730.10
  4. Step 4: Simplify right side
    33,101.30x = 483,130,114.82
  5. Step 5: Solve for x
    x = 483,130,114.82/33,101.30
  6. Step 6: Final answer
    x = 14,595.50

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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.