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Finding the Fourth Proportional to 114,464, 171,637.68 and 47,886.08

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Solution

The fourth proportional to 114,464, 171,637.68 and 47,886.08 is: 71,804.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,464 : 171,637.68 = 47,886.08 : x
  2. Step 2: Convert to fraction form
    114,464/171,637.68 = 47,886.08/x
  3. Step 3: Cross multiply
    114,464x = 171,637.68 × 47,886.08
  4. Step 4: Simplify right side
    114,464x = 8,219,055,675.49
  5. Step 5: Solve for x
    x = 8,219,055,675.49/114,464
  6. Step 6: Final answer
    x = 71,804.72

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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.