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Finding the Fourth Proportional to 37,643.47, 51,970.51 and 23,515.45

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Solution

The fourth proportional to 37,643.47, 51,970.51 and 23,515.45 is: 32,465.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,643.47 : 51,970.51 = 23,515.45 : x
  2. Step 2: Convert to fraction form
    37,643.47/51,970.51 = 23,515.45/x
  3. Step 3: Cross multiply
    37,643.47x = 51,970.51 × 23,515.45
  4. Step 4: Simplify right side
    37,643.47x = 1,222,109,828.85
  5. Step 5: Solve for x
    x = 1,222,109,828.85/37,643.47
  6. Step 6: Final answer
    x = 32,465.39

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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.