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Finding the Fourth Proportional to 70,538.21, 97,342.46 and 38,707.64

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Solution

The fourth proportional to 70,538.21, 97,342.46 and 38,707.64 is: 53,416.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,538.21 : 97,342.46 = 38,707.64 : x
  2. Step 2: Convert to fraction form
    70,538.21/97,342.46 = 38,707.64/x
  3. Step 3: Cross multiply
    70,538.21x = 97,342.46 × 38,707.64
  4. Step 4: Simplify right side
    70,538.21x = 3,767,896,995.16
  5. Step 5: Solve for x
    x = 3,767,896,995.16/70,538.21
  6. Step 6: Final answer
    x = 53,416.40

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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.