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Finding the Fourth Proportional to 70,434.23, 97,200 and 38,602.43

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Solution

The fourth proportional to 70,434.23, 97,200 and 38,602.43 is: 53,271.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,434.23 : 97,200 = 38,602.43 : x
  2. Step 2: Convert to fraction form
    70,434.23/97,200 = 38,602.43/x
  3. Step 3: Cross multiply
    70,434.23x = 97,200 × 38,602.43
  4. Step 4: Simplify right side
    70,434.23x = 3,752,156,196
  5. Step 5: Solve for x
    x = 3,752,156,196/70,434.23
  6. Step 6: Final answer
    x = 53,271.77

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