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Finding the Fourth Proportional to 64,225.60, 96,347.62 and 19,855.81

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Solution

The fourth proportional to 64,225.60, 96,347.62 and 19,855.81 is: 29,786.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,225.60 : 96,347.62 = 19,855.81 : x
  2. Step 2: Convert to fraction form
    64,225.60/96,347.62 = 19,855.81/x
  3. Step 3: Cross multiply
    64,225.60x = 96,347.62 × 19,855.81
  4. Step 4: Simplify right side
    64,225.60x = 1,913,060,036.67
  5. Step 5: Solve for x
    x = 1,913,060,036.67/64,225.60
  6. Step 6: Final answer
    x = 29,786.57

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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.