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Finding the Fourth Proportional to 98,529.32, 147,852.86 and 36,206.12

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Solution

The fourth proportional to 98,529.32, 147,852.86 and 36,206.12 is: 54,330.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,529.32 : 147,852.86 = 36,206.12 : x
  2. Step 2: Convert to fraction form
    98,529.32/147,852.86 = 36,206.12/x
  3. Step 3: Cross multiply
    98,529.32x = 147,852.86 × 36,206.12
  4. Step 4: Simplify right side
    98,529.32x = 5,353,178,391.50
  5. Step 5: Solve for x
    x = 5,353,178,391.50/98,529.32
  6. Step 6: Final answer
    x = 54,330.82

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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.