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Finding the Fourth Proportional to 34,518.42, 47,651.47 and 26,024

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Solution

The fourth proportional to 34,518.42, 47,651.47 and 26,024 is: 35,925.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,518.42 : 47,651.47 = 26,024 : x
  2. Step 2: Convert to fraction form
    34,518.42/47,651.47 = 26,024/x
  3. Step 3: Cross multiply
    34,518.42x = 47,651.47 × 26,024
  4. Step 4: Simplify right side
    34,518.42x = 1,240,081,855.28
  5. Step 5: Solve for x
    x = 1,240,081,855.28/34,518.42
  6. Step 6: Final answer
    x = 35,925.22

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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.