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Finding the Fourth Proportional to 51,394, 77,091.04 and 14,458

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Solution

The fourth proportional to 51,394, 77,091.04 and 14,458 is: 21,687.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,394 : 77,091.04 = 14,458 : x
  2. Step 2: Convert to fraction form
    51,394/77,091.04 = 14,458/x
  3. Step 3: Cross multiply
    51,394x = 77,091.04 × 14,458
  4. Step 4: Simplify right side
    51,394x = 1,114,582,256.32
  5. Step 5: Solve for x
    x = 1,114,582,256.32/51,394
  6. Step 6: Final answer
    x = 21,687.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.