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Finding the Fourth Proportional to 52,742.96, 72,803.72 and 32,615.28

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Solution

The fourth proportional to 52,742.96, 72,803.72 and 32,615.28 is: 45,020.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,742.96 : 72,803.72 = 32,615.28 : x
  2. Step 2: Convert to fraction form
    52,742.96/72,803.72 = 32,615.28/x
  3. Step 3: Cross multiply
    52,742.96x = 72,803.72 × 32,615.28
  4. Step 4: Simplify right side
    52,742.96x = 2,374,513,712.84
  5. Step 5: Solve for x
    x = 2,374,513,712.84/52,742.96
  6. Step 6: Final answer
    x = 45,020.49

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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.