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Finding the Fourth Proportional to 40,705.80, 56,078.10 and 38,256.36

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Solution

The fourth proportional to 40,705.80, 56,078.10 and 38,256.36 is: 52,703.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,705.80 : 56,078.10 = 38,256.36 : x
  2. Step 2: Convert to fraction form
    40,705.80/56,078.10 = 38,256.36/x
  3. Step 3: Cross multiply
    40,705.80x = 56,078.10 × 38,256.36
  4. Step 4: Simplify right side
    40,705.80x = 2,145,343,981.72
  5. Step 5: Solve for x
    x = 2,145,343,981.72/40,705.80
  6. Step 6: Final answer
    x = 52,703.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.