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Finding the Fourth Proportional to 98,588.92, 147,941.94 and 36,303.16

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Solution

The fourth proportional to 98,588.92, 147,941.94 and 36,303.16 is: 54,476.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,588.92 : 147,941.94 = 36,303.16 : x
  2. Step 2: Convert to fraction form
    98,588.92/147,941.94 = 36,303.16/x
  3. Step 3: Cross multiply
    98,588.92x = 147,941.94 × 36,303.16
  4. Step 4: Simplify right side
    98,588.92x = 5,370,759,918.53
  5. Step 5: Solve for x
    x = 5,370,759,918.53/98,588.92
  6. Step 6: Final answer
    x = 54,476.30

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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.