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Finding the Fourth Proportional to 64,407.60, 96,647.94 and 24,967.44

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Solution

The fourth proportional to 64,407.60, 96,647.94 and 24,967.44 is: 37,465.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,407.60 : 96,647.94 = 24,967.44 : x
  2. Step 2: Convert to fraction form
    64,407.60/96,647.94 = 24,967.44/x
  3. Step 3: Cross multiply
    64,407.60x = 96,647.94 × 24,967.44
  4. Step 4: Simplify right side
    64,407.60x = 2,413,051,643.07
  5. Step 5: Solve for x
    x = 2,413,051,643.07/64,407.60
  6. Step 6: Final answer
    x = 37,465.32

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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.