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Finding the Fourth Proportional to 46,509.26, 64,182.94 and 25,288.62

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Solution

The fourth proportional to 46,509.26, 64,182.94 and 25,288.62 is: 34,898.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,509.26 : 64,182.94 = 25,288.62 : x
  2. Step 2: Convert to fraction form
    46,509.26/64,182.94 = 25,288.62/x
  3. Step 3: Cross multiply
    46,509.26x = 64,182.94 × 25,288.62
  4. Step 4: Simplify right side
    46,509.26x = 1,623,097,980.14
  5. Step 5: Solve for x
    x = 1,623,097,980.14/46,509.26
  6. Step 6: Final answer
    x = 34,898.38

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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.