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Finding the Fourth Proportional to 46,978.04, 64,828.95 and 25,757.48

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Solution

The fourth proportional to 46,978.04, 64,828.95 and 25,757.48 is: 35,544.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,978.04 : 64,828.95 = 25,757.48 : x
  2. Step 2: Convert to fraction form
    46,978.04/64,828.95 = 25,757.48/x
  3. Step 3: Cross multiply
    46,978.04x = 64,828.95 × 25,757.48
  4. Step 4: Simplify right side
    46,978.04x = 1,669,830,383.05
  5. Step 5: Solve for x
    x = 1,669,830,383.05/46,978.04
  6. Step 6: Final answer
    x = 35,544.91

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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.