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Finding the Fourth Proportional to 65,709.30, 90,688.23 and 37,417.62

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Solution

The fourth proportional to 65,709.30, 90,688.23 and 37,417.62 is: 51,641.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,709.30 : 90,688.23 = 37,417.62 : x
  2. Step 2: Convert to fraction form
    65,709.30/90,688.23 = 37,417.62/x
  3. Step 3: Cross multiply
    65,709.30x = 90,688.23 × 37,417.62
  4. Step 4: Simplify right side
    65,709.30x = 3,393,337,728.61
  5. Step 5: Solve for x
    x = 3,393,337,728.61/65,709.30
  6. Step 6: Final answer
    x = 51,641.67

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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.