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Finding the Fourth Proportional to 31,201.70, 46,802.55 and 30,740.90

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Solution

The fourth proportional to 31,201.70, 46,802.55 and 30,740.90 is: 46,111.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,201.70 : 46,802.55 = 30,740.90 : x
  2. Step 2: Convert to fraction form
    31,201.70/46,802.55 = 30,740.90/x
  3. Step 3: Cross multiply
    31,201.70x = 46,802.55 × 30,740.90
  4. Step 4: Simplify right side
    31,201.70x = 1,438,752,509.30
  5. Step 5: Solve for x
    x = 1,438,752,509.30/31,201.70
  6. Step 6: Final answer
    x = 46,111.35

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1.5x scale

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.