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Finding the Fourth Proportional to 50,714.51, 69,985.40 and 28,051.74

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Solution

The fourth proportional to 50,714.51, 69,985.40 and 28,051.74 is: 38,711.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,714.51 : 69,985.40 = 28,051.74 : x
  2. Step 2: Convert to fraction form
    50,714.51/69,985.40 = 28,051.74/x
  3. Step 3: Cross multiply
    50,714.51x = 69,985.40 × 28,051.74
  4. Step 4: Simplify right side
    50,714.51x = 1,963,212,104.34
  5. Step 5: Solve for x
    x = 1,963,212,104.34/50,714.51
  6. Step 6: Final answer
    x = 38,711.06

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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.