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Finding the Fourth Proportional to 31,870.03, 47,805.03 and 9,683.32

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Solution

The fourth proportional to 31,870.03, 47,805.03 and 9,683.32 is: 14,524.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,870.03 : 47,805.03 = 9,683.32 : x
  2. Step 2: Convert to fraction form
    31,870.03/47,805.03 = 9,683.32/x
  3. Step 3: Cross multiply
    31,870.03x = 47,805.03 × 9,683.32
  4. Step 4: Simplify right side
    31,870.03x = 462,911,403.10
  5. Step 5: Solve for x
    x = 462,911,403.10/31,870.03
  6. Step 6: Final answer
    x = 14,524.98

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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.