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Finding the Fourth Proportional to 34,533.42, 51,798.62 and 10,840.42

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Solution

The fourth proportional to 34,533.42, 51,798.62 and 10,840.42 is: 16,260.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,533.42 : 51,798.62 = 10,840.42 : x
  2. Step 2: Convert to fraction form
    34,533.42/51,798.62 = 10,840.42/x
  3. Step 3: Cross multiply
    34,533.42x = 51,798.62 × 10,840.42
  4. Step 4: Simplify right side
    34,533.42x = 561,518,796.22
  5. Step 5: Solve for x
    x = 561,518,796.22/34,533.42
  6. Step 6: Final answer
    x = 16,260.16

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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.