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Finding the Fourth Proportional to 37,854, 52,238.52 and 21,088.08

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Solution

The fourth proportional to 37,854, 52,238.52 and 21,088.08 is: 29,101.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,854 : 52,238.52 = 21,088.08 : x
  2. Step 2: Convert to fraction form
    37,854/52,238.52 = 21,088.08/x
  3. Step 3: Cross multiply
    37,854x = 52,238.52 × 21,088.08
  4. Step 4: Simplify right side
    37,854x = 1,101,610,088.84
  5. Step 5: Solve for x
    x = 1,101,610,088.84/37,854
  6. Step 6: Final answer
    x = 29,101.55

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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.