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Finding the Fourth Proportional to 51,369.78, 77,070.42 and 46,071.30

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Solution

The fourth proportional to 51,369.78, 77,070.42 and 46,071.30 is: 69,121.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,369.78 : 77,070.42 = 46,071.30 : x
  2. Step 2: Convert to fraction form
    51,369.78/77,070.42 = 46,071.30/x
  3. Step 3: Cross multiply
    51,369.78x = 77,070.42 × 46,071.30
  4. Step 4: Simplify right side
    51,369.78x = 3,550,734,440.95
  5. Step 5: Solve for x
    x = 3,550,734,440.95/51,369.78
  6. Step 6: Final answer
    x = 69,121.08

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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.