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Finding the Fourth Proportional to 114,031.18, 171,032.59 and 47,462.55

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Solution

The fourth proportional to 114,031.18, 171,032.59 and 47,462.55 is: 71,187.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,031.18 : 171,032.59 = 47,462.55 : x
  2. Step 2: Convert to fraction form
    114,031.18/171,032.59 = 47,462.55/x
  3. Step 3: Cross multiply
    114,031.18x = 171,032.59 × 47,462.55
  4. Step 4: Simplify right side
    114,031.18x = 8,117,642,854.50
  5. Step 5: Solve for x
    x = 8,117,642,854.50/114,031.18
  6. Step 6: Final answer
    x = 71,187.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.