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Finding the Fourth Proportional to 98,576, 136,038.24 and 53,866.88

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Solution

The fourth proportional to 98,576, 136,038.24 and 53,866.88 is: 74,338.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,576 : 136,038.24 = 53,866.88 : x
  2. Step 2: Convert to fraction form
    98,576/136,038.24 = 53,866.88/x
  3. Step 3: Cross multiply
    98,576x = 136,038.24 × 53,866.88
  4. Step 4: Simplify right side
    98,576x = 7,327,955,549.49
  5. Step 5: Solve for x
    x = 7,327,955,549.49/98,576
  6. Step 6: Final answer
    x = 74,338.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.