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Finding the Fourth Proportional to 52,035.38, 78,056.72 and 20,870.63

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Solution

The fourth proportional to 52,035.38, 78,056.72 and 20,870.63 is: 31,307.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,035.38 : 78,056.72 = 20,870.63 : x
  2. Step 2: Convert to fraction form
    52,035.38/78,056.72 = 20,870.63/x
  3. Step 3: Cross multiply
    52,035.38x = 78,056.72 × 20,870.63
  4. Step 4: Simplify right side
    52,035.38x = 1,629,092,427.50
  5. Step 5: Solve for x
    x = 1,629,092,427.50/52,035.38
  6. Step 6: Final answer
    x = 31,307.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.