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Finding the Fourth Proportional to 69,646.47, 96,114.09 and 40,968.24

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Solution

The fourth proportional to 69,646.47, 96,114.09 and 40,968.24 is: 56,537.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,646.47 : 96,114.09 = 40,968.24 : x
  2. Step 2: Convert to fraction form
    69,646.47/96,114.09 = 40,968.24/x
  3. Step 3: Cross multiply
    69,646.47x = 96,114.09 × 40,968.24
  4. Step 4: Simplify right side
    69,646.47x = 3,937,625,106.50
  5. Step 5: Solve for x
    x = 3,937,625,106.50/69,646.47
  6. Step 6: Final answer
    x = 56,537.32

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