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Finding the Fourth Proportional to 52,341.96, 72,208.08 and 31,109.16

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Solution

The fourth proportional to 52,341.96, 72,208.08 and 31,109.16 is: 42,916.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,341.96 : 72,208.08 = 31,109.16 : x
  2. Step 2: Convert to fraction form
    52,341.96/72,208.08 = 31,109.16/x
  3. Step 3: Cross multiply
    52,341.96x = 72,208.08 × 31,109.16
  4. Step 4: Simplify right side
    52,341.96x = 2,246,332,714.01
  5. Step 5: Solve for x
    x = 2,246,332,714.01/52,341.96
  6. Step 6: Final answer
    x = 42,916.48

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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.