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Finding the Fourth Proportional to 34,448.44, 51,602.95 and 31,578.00

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Solution

The fourth proportional to 34,448.44, 51,602.95 and 31,578.00 is: 47,303.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,448.44 : 51,602.95 = 31,578.00 : x
  2. Step 2: Convert to fraction form
    34,448.44/51,602.95 = 31,578.00/x
  3. Step 3: Cross multiply
    34,448.44x = 51,602.95 × 31,578.00
  4. Step 4: Simplify right side
    34,448.44x = 1,629,518,002.51
  5. Step 5: Solve for x
    x = 1,629,518,002.51/34,448.44
  6. Step 6: Final answer
    x = 47,303.10

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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.