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Finding the Fourth Proportional to 65,122.32, 97,689.96 and 30,072

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Solution

The fourth proportional to 65,122.32, 97,689.96 and 30,072 is: 45,110.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,122.32 : 97,689.96 = 30,072 : x
  2. Step 2: Convert to fraction form
    65,122.32/97,689.96 = 30,072/x
  3. Step 3: Cross multiply
    65,122.32x = 97,689.96 × 30,072
  4. Step 4: Simplify right side
    65,122.32x = 2,937,732,477.12
  5. Step 5: Solve for x
    x = 2,937,732,477.12/65,122.32
  6. Step 6: Final answer
    x = 45,110.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.