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Finding the Fourth Proportional to 97,783.65, 146,730.15 and 41,614.20

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Solution

The fourth proportional to 97,783.65, 146,730.15 and 41,614.20 is: 62,444.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,783.65 : 146,730.15 = 41,614.20 : x
  2. Step 2: Convert to fraction form
    97,783.65/146,730.15 = 41,614.20/x
  3. Step 3: Cross multiply
    97,783.65x = 146,730.15 × 41,614.20
  4. Step 4: Simplify right side
    97,783.65x = 6,106,057,808.13
  5. Step 5: Solve for x
    x = 6,106,057,808.13/97,783.65
  6. Step 6: Final answer
    x = 62,444.57

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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.