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Finding the Fourth Proportional to 98,095.94, 147,145.29 and 27,975.25

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Solution

The fourth proportional to 98,095.94, 147,145.29 and 27,975.25 is: 41,963.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,095.94 : 147,145.29 = 27,975.25 : x
  2. Step 2: Convert to fraction form
    98,095.94/147,145.29 = 27,975.25/x
  3. Step 3: Cross multiply
    98,095.94x = 147,145.29 × 27,975.25
  4. Step 4: Simplify right side
    98,095.94x = 4,116,426,274.07
  5. Step 5: Solve for x
    x = 4,116,426,274.07/98,095.94
  6. Step 6: Final answer
    x = 41,963.27

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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.