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Finding the Fourth Proportional to 72,396.04, 99,853.14 and 45,517

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Solution

The fourth proportional to 72,396.04, 99,853.14 and 45,517 is: 62,779.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,396.04 : 99,853.14 = 45,517 : x
  2. Step 2: Convert to fraction form
    72,396.04/99,853.14 = 45,517/x
  3. Step 3: Cross multiply
    72,396.04x = 99,853.14 × 45,517
  4. Step 4: Simplify right side
    72,396.04x = 4,545,015,373.38
  5. Step 5: Solve for x
    x = 4,545,015,373.38/72,396.04
  6. Step 6: Final answer
    x = 62,779.89

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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.