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Finding the Fourth Proportional to 52,475.84, 72,419.04 and 30,966.72

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Solution

The fourth proportional to 52,475.84, 72,419.04 and 30,966.72 is: 42,735.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,475.84 : 72,419.04 = 30,966.72 : x
  2. Step 2: Convert to fraction form
    52,475.84/72,419.04 = 30,966.72/x
  3. Step 3: Cross multiply
    52,475.84x = 72,419.04 × 30,966.72
  4. Step 4: Simplify right side
    52,475.84x = 2,242,580,134.35
  5. Step 5: Solve for x
    x = 2,242,580,134.35/52,475.84
  6. Step 6: Final answer
    x = 42,735.48

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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.