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Finding the Fourth Proportional to 70,289.32, 96,998.40 and 38,457.76

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Solution

The fourth proportional to 70,289.32, 96,998.40 and 38,457.76 is: 53,071.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,289.32 : 96,998.40 = 38,457.76 : x
  2. Step 2: Convert to fraction form
    70,289.32/96,998.40 = 38,457.76/x
  3. Step 3: Cross multiply
    70,289.32x = 96,998.40 × 38,457.76
  4. Step 4: Simplify right side
    70,289.32x = 3,730,341,187.58
  5. Step 5: Solve for x
    x = 3,730,341,187.58/70,289.32
  6. Step 6: Final answer
    x = 53,071.24

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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.