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Finding the Fourth Proportional to 37,681.60, 52,001.64 and 24,278.80

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Solution

The fourth proportional to 37,681.60, 52,001.64 and 24,278.80 is: 33,505.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,681.60 : 52,001.64 = 24,278.80 : x
  2. Step 2: Convert to fraction form
    37,681.60/52,001.64 = 24,278.80/x
  3. Step 3: Cross multiply
    37,681.60x = 52,001.64 × 24,278.80
  4. Step 4: Simplify right side
    37,681.60x = 1,262,537,417.23
  5. Step 5: Solve for x
    x = 1,262,537,417.23/37,681.60
  6. Step 6: Final answer
    x = 33,505.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.