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Finding the Fourth Proportional to 47,353.60, 71,030.40 and 19,705.60

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Solution

The fourth proportional to 47,353.60, 71,030.40 and 19,705.60 is: 29,558.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,353.60 : 71,030.40 = 19,705.60 : x
  2. Step 2: Convert to fraction form
    47,353.60/71,030.40 = 19,705.60/x
  3. Step 3: Cross multiply
    47,353.60x = 71,030.40 × 19,705.60
  4. Step 4: Simplify right side
    47,353.60x = 1,399,696,650.24
  5. Step 5: Solve for x
    x = 1,399,696,650.24/47,353.60
  6. Step 6: Final answer
    x = 29,558.40

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Why These Related Problems?

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