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Finding the Fourth Proportional to 109,852.65, 164,590.83 and 59,967.72

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Solution

The fourth proportional to 109,852.65, 164,590.83 and 59,967.72 is: 89,848.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,852.65 : 164,590.83 = 59,967.72 : x
  2. Step 2: Convert to fraction form
    109,852.65/164,590.83 = 59,967.72/x
  3. Step 3: Cross multiply
    109,852.65x = 164,590.83 × 59,967.72
  4. Step 4: Simplify right side
    109,852.65x = 9,870,136,808.01
  5. Step 5: Solve for x
    x = 9,870,136,808.01/109,852.65
  6. Step 6: Final answer
    x = 89,848.87

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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.