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Finding the Fourth Proportional to 46,356.48, 69,534 and 11,296.08

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Solution

The fourth proportional to 46,356.48, 69,534 and 11,296.08 is: 16,943.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,356.48 : 69,534 = 11,296.08 : x
  2. Step 2: Convert to fraction form
    46,356.48/69,534 = 11,296.08/x
  3. Step 3: Cross multiply
    46,356.48x = 69,534 × 11,296.08
  4. Step 4: Simplify right side
    46,356.48x = 785,461,626.72
  5. Step 5: Solve for x
    x = 785,461,626.72/46,356.48
  6. Step 6: Final answer
    x = 16,943.94

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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.