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Finding the Fourth Proportional to 49,784.36, 74,678.36 and 16,507.34

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Solution

The fourth proportional to 49,784.36, 74,678.36 and 16,507.34 is: 24,761.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,784.36 : 74,678.36 = 16,507.34 : x
  2. Step 2: Convert to fraction form
    49,784.36/74,678.36 = 16,507.34/x
  3. Step 3: Cross multiply
    49,784.36x = 74,678.36 × 16,507.34
  4. Step 4: Simplify right side
    49,784.36x = 1,232,740,623.23
  5. Step 5: Solve for x
    x = 1,232,740,623.23/49,784.36
  6. Step 6: Final answer
    x = 24,761.60

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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.