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Finding the Fourth Proportional to 52,477.60, 78,695.92 and 17,407.84

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Solution

The fourth proportional to 52,477.60, 78,695.92 and 17,407.84 is: 26,104.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,477.60 : 78,695.92 = 17,407.84 : x
  2. Step 2: Convert to fraction form
    52,477.60/78,695.92 = 17,407.84/x
  3. Step 3: Cross multiply
    52,477.60x = 78,695.92 × 17,407.84
  4. Step 4: Simplify right side
    52,477.60x = 1,369,925,984.01
  5. Step 5: Solve for x
    x = 1,369,925,984.01/52,477.60
  6. Step 6: Final answer
    x = 26,104.97

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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.