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Finding the Fourth Proportional to 52,259.64, 72,148.23 and 34,406.55

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Solution

The fourth proportional to 52,259.64, 72,148.23 and 34,406.55 is: 47,500.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,259.64 : 72,148.23 = 34,406.55 : x
  2. Step 2: Convert to fraction form
    52,259.64/72,148.23 = 34,406.55/x
  3. Step 3: Cross multiply
    52,259.64x = 72,148.23 × 34,406.55
  4. Step 4: Simplify right side
    52,259.64x = 2,482,371,383.22
  5. Step 5: Solve for x
    x = 2,482,371,383.22/52,259.64
  6. Step 6: Final answer
    x = 47,500.74

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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.