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Finding the Fourth Proportional to 72,304.36, 99,785.70 and 53,271.16

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Solution

The fourth proportional to 72,304.36, 99,785.70 and 53,271.16 is: 73,518.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,304.36 : 99,785.70 = 53,271.16 : x
  2. Step 2: Convert to fraction form
    72,304.36/99,785.70 = 53,271.16/x
  3. Step 3: Cross multiply
    72,304.36x = 99,785.70 × 53,271.16
  4. Step 4: Simplify right side
    72,304.36x = 5,315,699,990.41
  5. Step 5: Solve for x
    x = 5,315,699,990.41/72,304.36
  6. Step 6: Final answer
    x = 73,518.39

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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.