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Finding the Fourth Proportional to 114,533.16, 171,815.94 and 35,655.36

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Solution

The fourth proportional to 114,533.16, 171,815.94 and 35,655.36 is: 53,488.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,533.16 : 171,815.94 = 35,655.36 : x
  2. Step 2: Convert to fraction form
    114,533.16/171,815.94 = 35,655.36/x
  3. Step 3: Cross multiply
    114,533.16x = 171,815.94 × 35,655.36
  4. Step 4: Simplify right side
    114,533.16x = 6,126,159,194.44
  5. Step 5: Solve for x
    x = 6,126,159,194.44/114,533.16
  6. Step 6: Final answer
    x = 53,488.08

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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.