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Finding the Fourth Proportional to 114,527.54, 171,858.30 and 47,962.08

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Solution

The fourth proportional to 114,527.54, 171,858.30 and 47,962.08 is: 71,971.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,527.54 : 171,858.30 = 47,962.08 : x
  2. Step 2: Convert to fraction form
    114,527.54/171,858.30 = 47,962.08/x
  3. Step 3: Cross multiply
    114,527.54x = 171,858.30 × 47,962.08
  4. Step 4: Simplify right side
    114,527.54x = 8,242,681,533.26
  5. Step 5: Solve for x
    x = 8,242,681,533.26/114,527.54
  6. Step 6: Final answer
    x = 71,971.17

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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.