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Finding the Fourth Proportional to 49,838.42, 68,782.50 and 30,714.32

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Solution

The fourth proportional to 49,838.42, 68,782.50 and 30,714.32 is: 42,389.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,838.42 : 68,782.50 = 30,714.32 : x
  2. Step 2: Convert to fraction form
    49,838.42/68,782.50 = 30,714.32/x
  3. Step 3: Cross multiply
    49,838.42x = 68,782.50 × 30,714.32
  4. Step 4: Simplify right side
    49,838.42x = 2,112,607,715.40
  5. Step 5: Solve for x
    x = 2,112,607,715.40/49,838.42
  6. Step 6: Final answer
    x = 42,389.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.