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Finding the Fourth Proportional to 64,382.40, 96,567.12 and 17,642.16

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Solution

The fourth proportional to 64,382.40, 96,567.12 and 17,642.16 is: 26,461.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,382.40 : 96,567.12 = 17,642.16 : x
  2. Step 2: Convert to fraction form
    64,382.40/96,567.12 = 17,642.16/x
  3. Step 3: Cross multiply
    64,382.40x = 96,567.12 × 17,642.16
  4. Step 4: Simplify right side
    64,382.40x = 1,703,652,581.78
  5. Step 5: Solve for x
    x = 1,703,652,581.78/64,382.40
  6. Step 6: Final answer
    x = 26,461.46

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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.