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Finding the Fourth Proportional to 70,326.42, 97,050.49 and 38,495.50

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Solution

The fourth proportional to 70,326.42, 97,050.49 and 38,495.50 is: 53,123.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,326.42 : 97,050.49 = 38,495.50 : x
  2. Step 2: Convert to fraction form
    70,326.42/97,050.49 = 38,495.50/x
  3. Step 3: Cross multiply
    70,326.42x = 97,050.49 × 38,495.50
  4. Step 4: Simplify right side
    70,326.42x = 3,736,007,137.80
  5. Step 5: Solve for x
    x = 3,736,007,137.80/70,326.42
  6. Step 6: Final answer
    x = 53,123.81

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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.