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Finding the Fourth Proportional to 61,007.80, 91,438.80 and 31,410.40

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Solution

The fourth proportional to 61,007.80, 91,438.80 and 31,410.40 is: 47,078.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,007.80 : 91,438.80 = 31,410.40 : x
  2. Step 2: Convert to fraction form
    61,007.80/91,438.80 = 31,410.40/x
  3. Step 3: Cross multiply
    61,007.80x = 91,438.80 × 31,410.40
  4. Step 4: Simplify right side
    61,007.80x = 2,872,129,283.52
  5. Step 5: Solve for x
    x = 2,872,129,283.52/61,007.80
  6. Step 6: Final answer
    x = 47,078.07

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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.