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Finding the Fourth Proportional to 52,808.84, 72,864.33 and 30,140.58

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Solution

The fourth proportional to 52,808.84, 72,864.33 and 30,140.58 is: 41,587.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,808.84 : 72,864.33 = 30,140.58 : x
  2. Step 2: Convert to fraction form
    52,808.84/72,864.33 = 30,140.58/x
  3. Step 3: Cross multiply
    52,808.84x = 72,864.33 × 30,140.58
  4. Step 4: Simplify right side
    52,808.84x = 2,196,173,377.11
  5. Step 5: Solve for x
    x = 2,196,173,377.11/52,808.84
  6. Step 6: Final answer
    x = 41,587.23

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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.