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Finding the Fourth Proportional to 114,066.62, 170,985.12 and 47,543.58

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Solution

The fourth proportional to 114,066.62, 170,985.12 and 47,543.58 is: 71,267.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,066.62 : 170,985.12 = 47,543.58 : x
  2. Step 2: Convert to fraction form
    114,066.62/170,985.12 = 47,543.58/x
  3. Step 3: Cross multiply
    114,066.62x = 170,985.12 × 47,543.58
  4. Step 4: Simplify right side
    114,066.62x = 8,129,244,731.53
  5. Step 5: Solve for x
    x = 8,129,244,731.53/114,066.62
  6. Step 6: Final answer
    x = 71,267.52

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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.