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Finding the Fourth Proportional to 65,358.82, 97,882.71 and 37,598.50

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Solution

The fourth proportional to 65,358.82, 97,882.71 and 37,598.50 is: 56,308.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,358.82 : 97,882.71 = 37,598.50 : x
  2. Step 2: Convert to fraction form
    65,358.82/97,882.71 = 37,598.50/x
  3. Step 3: Cross multiply
    65,358.82x = 97,882.71 × 37,598.50
  4. Step 4: Simplify right side
    65,358.82x = 3,680,243,071.94
  5. Step 5: Solve for x
    x = 3,680,243,071.94/65,358.82
  6. Step 6: Final answer
    x = 56,308.29

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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.