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Finding the Fourth Proportional to 53,907.71, 74,390.47 and 30,033.77

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Solution

The fourth proportional to 53,907.71, 74,390.47 and 30,033.77 is: 41,445.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,907.71 : 74,390.47 = 30,033.77 : x
  2. Step 2: Convert to fraction form
    53,907.71/74,390.47 = 30,033.77/x
  3. Step 3: Cross multiply
    53,907.71x = 74,390.47 × 30,033.77
  4. Step 4: Simplify right side
    53,907.71x = 2,234,225,819.14
  5. Step 5: Solve for x
    x = 2,234,225,819.14/53,907.71
  6. Step 6: Final answer
    x = 41,445.39

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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.