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Finding the Fourth Proportional to 46,930, 64,763.40 and 25,709.35

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Solution

The fourth proportional to 46,930, 64,763.40 and 25,709.35 is: 35,478.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,930 : 64,763.40 = 25,709.35 : x
  2. Step 2: Convert to fraction form
    46,930/64,763.40 = 25,709.35/x
  3. Step 3: Cross multiply
    46,930x = 64,763.40 × 25,709.35
  4. Step 4: Simplify right side
    46,930x = 1,665,024,917.79
  5. Step 5: Solve for x
    x = 1,665,024,917.79/46,930
  6. Step 6: Final answer
    x = 35,478.90

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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.