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Finding the Fourth Proportional to 97,647.65, 146,526.80 and 38,524.84

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Solution

The fourth proportional to 97,647.65, 146,526.80 and 38,524.84 is: 57,809.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,647.65 : 146,526.80 = 38,524.84 : x
  2. Step 2: Convert to fraction form
    97,647.65/146,526.80 = 38,524.84/x
  3. Step 3: Cross multiply
    97,647.65x = 146,526.80 × 38,524.84
  4. Step 4: Simplify right side
    97,647.65x = 5,644,920,966.77
  5. Step 5: Solve for x
    x = 5,644,920,966.77/97,647.65
  6. Step 6: Final answer
    x = 57,809.08

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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.