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Finding the Fourth Proportional to 98,859.69, 148,312.01 and 32,298.95

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Solution

The fourth proportional to 98,859.69, 148,312.01 and 32,298.95 is: 48,455.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,859.69 : 148,312.01 = 32,298.95 : x
  2. Step 2: Convert to fraction form
    98,859.69/148,312.01 = 32,298.95/x
  3. Step 3: Cross multiply
    98,859.69x = 148,312.01 × 32,298.95
  4. Step 4: Simplify right side
    98,859.69x = 4,790,322,646.92
  5. Step 5: Solve for x
    x = 4,790,322,646.92/98,859.69
  6. Step 6: Final answer
    x = 48,455.77

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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.