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Finding the Fourth Proportional to 98,677, 148,037.36 and 46,057.76

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Solution

The fourth proportional to 98,677, 148,037.36 and 46,057.76 is: 69,096.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,677 : 148,037.36 = 46,057.76 : x
  2. Step 2: Convert to fraction form
    98,677/148,037.36 = 46,057.76/x
  3. Step 3: Cross multiply
    98,677x = 148,037.36 × 46,057.76
  4. Step 4: Simplify right side
    98,677x = 6,818,269,197.91
  5. Step 5: Solve for x
    x = 6,818,269,197.91/98,677
  6. Step 6: Final answer
    x = 69,096.84

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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.