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Finding the Fourth Proportional to 83,347.55, 115,019.69 and 47,536.64

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Solution

The fourth proportional to 83,347.55, 115,019.69 and 47,536.64 is: 65,600.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,347.55 : 115,019.69 = 47,536.64 : x
  2. Step 2: Convert to fraction form
    83,347.55/115,019.69 = 47,536.64/x
  3. Step 3: Cross multiply
    83,347.55x = 115,019.69 × 47,536.64
  4. Step 4: Simplify right side
    83,347.55x = 5,467,648,783.66
  5. Step 5: Solve for x
    x = 5,467,648,783.66/83,347.55
  6. Step 6: Final answer
    x = 65,600.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.