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Finding the Fourth Proportional to 98,758, 148,137 and 24,886

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Solution

The fourth proportional to 98,758, 148,137 and 24,886 is: 37,329

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,758 : 148,137 = 24,886 : x
  2. Step 2: Convert to fraction form
    98,758/148,137 = 24,886/x
  3. Step 3: Cross multiply
    98,758x = 148,137 × 24,886
  4. Step 4: Simplify right side
    98,758x = 3,686,537,382
  5. Step 5: Solve for x
    x = 3,686,537,382/98,758
  6. Step 6: Final answer
    x = 37,329

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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.