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Finding the Fourth Proportional to 97,463.93, 146,210.54 and 41,304.33

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Solution

The fourth proportional to 97,463.93, 146,210.54 and 41,304.33 is: 61,962.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,463.93 : 146,210.54 = 41,304.33 : x
  2. Step 2: Convert to fraction form
    97,463.93/146,210.54 = 41,304.33/x
  3. Step 3: Cross multiply
    97,463.93x = 146,210.54 × 41,304.33
  4. Step 4: Simplify right side
    97,463.93x = 6,039,128,187.12
  5. Step 5: Solve for x
    x = 6,039,128,187.12/97,463.93
  6. Step 6: Final answer
    x = 61,962.70

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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.