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Finding the Fourth Proportional to 46,357.64, 69,562 and 25,296.80

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Solution

The fourth proportional to 46,357.64, 69,562 and 25,296.80 is: 37,959.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,357.64 : 69,562 = 25,296.80 : x
  2. Step 2: Convert to fraction form
    46,357.64/69,562 = 25,296.80/x
  3. Step 3: Cross multiply
    46,357.64x = 69,562 × 25,296.80
  4. Step 4: Simplify right side
    46,357.64x = 1,759,696,001.60
  5. Step 5: Solve for x
    x = 1,759,696,001.60/46,357.64
  6. Step 6: Final answer
    x = 37,959.14

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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.