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Finding the Fourth Proportional to 46,935.50, 64,771.03 and 25,714.86

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Solution

The fourth proportional to 46,935.50, 64,771.03 and 25,714.86 is: 35,486.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,935.50 : 64,771.03 = 25,714.86 : x
  2. Step 2: Convert to fraction form
    46,935.50/64,771.03 = 25,714.86/x
  3. Step 3: Cross multiply
    46,935.50x = 64,771.03 × 25,714.86
  4. Step 4: Simplify right side
    46,935.50x = 1,665,577,968.51
  5. Step 5: Solve for x
    x = 1,665,577,968.51/46,935.50
  6. Step 6: Final answer
    x = 35,486.53

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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.