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Finding the Fourth Proportional to 46,969.54, 64,817.85 and 25,748.90

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Solution

The fourth proportional to 46,969.54, 64,817.85 and 25,748.90 is: 35,533.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,969.54 : 64,817.85 = 25,748.90 : x
  2. Step 2: Convert to fraction form
    46,969.54/64,817.85 = 25,748.90/x
  3. Step 3: Cross multiply
    46,969.54x = 64,817.85 × 25,748.90
  4. Step 4: Simplify right side
    46,969.54x = 1,668,988,337.87
  5. Step 5: Solve for x
    x = 1,668,988,337.87/46,969.54
  6. Step 6: Final answer
    x = 35,533.42

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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.