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Finding the Fourth Proportional to 49,875, 74,812.50 and 25,251

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Solution

The fourth proportional to 49,875, 74,812.50 and 25,251 is: 37,876.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,875 : 74,812.50 = 25,251 : x
  2. Step 2: Convert to fraction form
    49,875/74,812.50 = 25,251/x
  3. Step 3: Cross multiply
    49,875x = 74,812.50 × 25,251
  4. Step 4: Simplify right side
    49,875x = 1,889,090,437.50
  5. Step 5: Solve for x
    x = 1,889,090,437.50/49,875
  6. Step 6: Final answer
    x = 37,876.50

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Why These Related Problems?

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