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Finding the Fourth Proportional to 97,902.49, 146,853.88 and 24,030.49

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Solution

The fourth proportional to 97,902.49, 146,853.88 and 24,030.49 is: 36,045.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,902.49 : 146,853.88 = 24,030.49 : x
  2. Step 2: Convert to fraction form
    97,902.49/146,853.88 = 24,030.49/x
  3. Step 3: Cross multiply
    97,902.49x = 146,853.88 × 24,030.49
  4. Step 4: Simplify right side
    97,902.49x = 3,528,970,574.65
  5. Step 5: Solve for x
    x = 3,528,970,574.65/97,902.49
  6. Step 6: Final answer
    x = 36,045.77

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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.