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Finding the Fourth Proportional to 82,596.22, 113,973.10 and 48,597.24

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Solution

The fourth proportional to 82,596.22, 113,973.10 and 48,597.24 is: 67,058.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,596.22 : 113,973.10 = 48,597.24 : x
  2. Step 2: Convert to fraction form
    82,596.22/113,973.10 = 48,597.24/x
  3. Step 3: Cross multiply
    82,596.22x = 113,973.10 × 48,597.24
  4. Step 4: Simplify right side
    82,596.22x = 5,538,778,094.24
  5. Step 5: Solve for x
    x = 5,538,778,094.24/82,596.22
  6. Step 6: Final answer
    x = 67,058.49

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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.