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Finding the Fourth Proportional to 47,409.60, 71,114.40 and 39,806.40

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Solution

The fourth proportional to 47,409.60, 71,114.40 and 39,806.40 is: 59,709.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,409.60 : 71,114.40 = 39,806.40 : x
  2. Step 2: Convert to fraction form
    47,409.60/71,114.40 = 39,806.40/x
  3. Step 3: Cross multiply
    47,409.60x = 71,114.40 × 39,806.40
  4. Step 4: Simplify right side
    47,409.60x = 2,830,808,252.16
  5. Step 5: Solve for x
    x = 2,830,808,252.16/47,409.60
  6. Step 6: Final answer
    x = 59,709.60

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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.