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Finding the Fourth Proportional to 35,830.40, 53,643.20 and 31,734.40

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Solution

The fourth proportional to 35,830.40, 53,643.20 and 31,734.40 is: 47,510.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,830.40 : 53,643.20 = 31,734.40 : x
  2. Step 2: Convert to fraction form
    35,830.40/53,643.20 = 31,734.40/x
  3. Step 3: Cross multiply
    35,830.40x = 53,643.20 × 31,734.40
  4. Step 4: Simplify right side
    35,830.40x = 1,702,334,766.08
  5. Step 5: Solve for x
    x = 1,702,334,766.08/35,830.40
  6. Step 6: Final answer
    x = 47,510.91

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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.