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Finding the Fourth Proportional to 31,041.03, 46,565.91 and 9,974.01

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Solution

The fourth proportional to 31,041.03, 46,565.91 and 9,974.01 is: 14,962.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,041.03 : 46,565.91 = 9,974.01 : x
  2. Step 2: Convert to fraction form
    31,041.03/46,565.91 = 9,974.01/x
  3. Step 3: Cross multiply
    31,041.03x = 46,565.91 × 9,974.01
  4. Step 4: Simplify right side
    31,041.03x = 464,448,852.00
  5. Step 5: Solve for x
    x = 464,448,852.00/31,041.03
  6. Step 6: Final answer
    x = 14,962.42

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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.