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Finding the Fourth Proportional to 37,875.84, 56,801.25 and 12,569.51

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Solution

The fourth proportional to 37,875.84, 56,801.25 and 12,569.51 is: 18,850.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,875.84 : 56,801.25 = 12,569.51 : x
  2. Step 2: Convert to fraction form
    37,875.84/56,801.25 = 12,569.51/x
  3. Step 3: Cross multiply
    37,875.84x = 56,801.25 × 12,569.51
  4. Step 4: Simplify right side
    37,875.84x = 713,964,021.89
  5. Step 5: Solve for x
    x = 713,964,021.89/37,875.84
  6. Step 6: Final answer
    x = 18,850.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.