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Finding the Fourth Proportional to 46,905.86, 64,729.86 and 25,684.94

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Solution

The fourth proportional to 46,905.86, 64,729.86 and 25,684.94 is: 35,445.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,905.86 : 64,729.86 = 25,684.94 : x
  2. Step 2: Convert to fraction form
    46,905.86/64,729.86 = 25,684.94/x
  3. Step 3: Cross multiply
    46,905.86x = 64,729.86 × 25,684.94
  4. Step 4: Simplify right side
    46,905.86x = 1,662,582,570.31
  5. Step 5: Solve for x
    x = 1,662,582,570.31/46,905.86
  6. Step 6: Final answer
    x = 35,445.09

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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.