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Finding the Fourth Proportional to 42,762.41, 63,830.48 and 37,712.39

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Solution

The fourth proportional to 42,762.41, 63,830.48 and 37,712.39 is: 56,292.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,762.41 : 63,830.48 = 37,712.39 : x
  2. Step 2: Convert to fraction form
    42,762.41/63,830.48 = 37,712.39/x
  3. Step 3: Cross multiply
    42,762.41x = 63,830.48 × 37,712.39
  4. Step 4: Simplify right side
    42,762.41x = 2,407,199,636.49
  5. Step 5: Solve for x
    x = 2,407,199,636.49/42,762.41
  6. Step 6: Final answer
    x = 56,292.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.