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Finding the Fourth Proportional to 98,576.64, 147,852.48 and 27,504.72

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Solution

The fourth proportional to 98,576.64, 147,852.48 and 27,504.72 is: 41,253.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,576.64 : 147,852.48 = 27,504.72 : x
  2. Step 2: Convert to fraction form
    98,576.64/147,852.48 = 27,504.72/x
  3. Step 3: Cross multiply
    98,576.64x = 147,852.48 × 27,504.72
  4. Step 4: Simplify right side
    98,576.64x = 4,066,641,063.71
  5. Step 5: Solve for x
    x = 4,066,641,063.71/98,576.64
  6. Step 6: Final answer
    x = 41,253.60

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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.