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Finding the Fourth Proportional to 114,030.18, 171,031.10 and 47,461.55

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Solution

The fourth proportional to 114,030.18, 171,031.10 and 47,461.55 is: 71,186.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,030.18 : 171,031.10 = 47,461.55 : x
  2. Step 2: Convert to fraction form
    114,030.18/171,031.10 = 47,461.55/x
  3. Step 3: Cross multiply
    114,030.18x = 171,031.10 × 47,461.55
  4. Step 4: Simplify right side
    114,030.18x = 8,117,400,011.74
  5. Step 5: Solve for x
    x = 8,117,400,011.74/114,030.18
  6. Step 6: Final answer
    x = 71,186.42

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1.5x scale

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.