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Finding the Fourth Proportional to 98,906.51, 148,366.58 and 39,742.22

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Solution

The fourth proportional to 98,906.51, 148,366.58 and 39,742.22 is: 59,616.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,906.51 : 148,366.58 = 39,742.22 : x
  2. Step 2: Convert to fraction form
    98,906.51/148,366.58 = 39,742.22/x
  3. Step 3: Cross multiply
    98,906.51x = 148,366.58 × 39,742.22
  4. Step 4: Simplify right side
    98,906.51x = 5,896,416,322.46
  5. Step 5: Solve for x
    x = 5,896,416,322.46/98,906.51
  6. Step 6: Final answer
    x = 59,616.06

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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.