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Finding the Fourth Proportional to 52,719.04, 72,779.04 and 35,812.72

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Solution

The fourth proportional to 52,719.04, 72,779.04 and 35,812.72 is: 49,439.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,719.04 : 72,779.04 = 35,812.72 : x
  2. Step 2: Convert to fraction form
    52,719.04/72,779.04 = 35,812.72/x
  3. Step 3: Cross multiply
    52,719.04x = 72,779.04 × 35,812.72
  4. Step 4: Simplify right side
    52,719.04x = 2,606,415,381.39
  5. Step 5: Solve for x
    x = 2,606,415,381.39/52,719.04
  6. Step 6: Final answer
    x = 49,439.74

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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.