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Finding the Fourth Proportional to 72,701.40, 109,052.10 and 55,205.40

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Solution

The fourth proportional to 72,701.40, 109,052.10 and 55,205.40 is: 82,808.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,701.40 : 109,052.10 = 55,205.40 : x
  2. Step 2: Convert to fraction form
    72,701.40/109,052.10 = 55,205.40/x
  3. Step 3: Cross multiply
    72,701.40x = 109,052.10 × 55,205.40
  4. Step 4: Simplify right side
    72,701.40x = 6,020,264,801.34
  5. Step 5: Solve for x
    x = 6,020,264,801.34/72,701.40
  6. Step 6: Final answer
    x = 82,808.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.