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Finding the Fourth Proportional to 31,665.54, 47,484.92 and 9,482.06

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Solution

The fourth proportional to 31,665.54, 47,484.92 and 9,482.06 is: 14,219.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,665.54 : 47,484.92 = 9,482.06 : x
  2. Step 2: Convert to fraction form
    31,665.54/47,484.92 = 9,482.06/x
  3. Step 3: Cross multiply
    31,665.54x = 47,484.92 × 9,482.06
  4. Step 4: Simplify right side
    31,665.54x = 450,254,860.54
  5. Step 5: Solve for x
    x = 450,254,860.54/31,665.54
  6. Step 6: Final answer
    x = 14,219.08

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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.