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Finding the Fourth Proportional to 40,946.86, 56,506 and 23,041.86

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Solution

The fourth proportional to 40,946.86, 56,506 and 23,041.86 is: 31,797.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,946.86 : 56,506 = 23,041.86 : x
  2. Step 2: Convert to fraction form
    40,946.86/56,506 = 23,041.86/x
  3. Step 3: Cross multiply
    40,946.86x = 56,506 × 23,041.86
  4. Step 4: Simplify right side
    40,946.86x = 1,302,003,341.16
  5. Step 5: Solve for x
    x = 1,302,003,341.16/40,946.86
  6. Step 6: Final answer
    x = 31,797.39

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Why These Related Problems?

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