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Finding the Fourth Proportional to 31,798.60, 47,698.34 and 9,612.16

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Solution

The fourth proportional to 31,798.60, 47,698.34 and 9,612.16 is: 14,418.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,798.60 : 47,698.34 = 9,612.16 : x
  2. Step 2: Convert to fraction form
    31,798.60/47,698.34 = 9,612.16/x
  3. Step 3: Cross multiply
    31,798.60x = 47,698.34 × 9,612.16
  4. Step 4: Simplify right side
    31,798.60x = 458,484,075.81
  5. Step 5: Solve for x
    x = 458,484,075.81/31,798.60
  6. Step 6: Final answer
    x = 14,418.37

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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.