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Finding the Fourth Proportional to 98,322.80, 147,500.94 and 31,754.84

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Solution

The fourth proportional to 98,322.80, 147,500.94 and 31,754.84 is: 47,637.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,322.80 : 147,500.94 = 31,754.84 : x
  2. Step 2: Convert to fraction form
    98,322.80/147,500.94 = 31,754.84/x
  3. Step 3: Cross multiply
    98,322.80x = 147,500.94 × 31,754.84
  4. Step 4: Simplify right side
    98,322.80x = 4,683,868,749.55
  5. Step 5: Solve for x
    x = 4,683,868,749.55/98,322.80
  6. Step 6: Final answer
    x = 47,637.67

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Why These Related Problems?

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