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Finding the Fourth Proportional to 33,130.30, 49,678.35 and 9,753.70

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Solution

The fourth proportional to 33,130.30, 49,678.35 and 9,753.70 is: 14,625.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,130.30 : 49,678.35 = 9,753.70 : x
  2. Step 2: Convert to fraction form
    33,130.30/49,678.35 = 9,753.70/x
  3. Step 3: Cross multiply
    33,130.30x = 49,678.35 × 9,753.70
  4. Step 4: Simplify right side
    33,130.30x = 484,547,722.40
  5. Step 5: Solve for x
    x = 484,547,722.40/33,130.30
  6. Step 6: Final answer
    x = 14,625.52

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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.