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Finding the Fourth Proportional to 32,117.70, 48,176.55 and 16,565.70

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Solution

The fourth proportional to 32,117.70, 48,176.55 and 16,565.70 is: 24,848.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,117.70 : 48,176.55 = 16,565.70 : x
  2. Step 2: Convert to fraction form
    32,117.70/48,176.55 = 16,565.70/x
  3. Step 3: Cross multiply
    32,117.70x = 48,176.55 × 16,565.70
  4. Step 4: Simplify right side
    32,117.70x = 798,078,274.34
  5. Step 5: Solve for x
    x = 798,078,274.34/32,117.70
  6. Step 6: Final answer
    x = 24,848.55

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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.