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Finding the Fourth Proportional to 32,077.98, 48,113.88 and 9,885.40

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Solution

The fourth proportional to 32,077.98, 48,113.88 and 9,885.40 is: 14,827.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,077.98 : 48,113.88 = 9,885.40 : x
  2. Step 2: Convert to fraction form
    32,077.98/48,113.88 = 9,885.40/x
  3. Step 3: Cross multiply
    32,077.98x = 48,113.88 × 9,885.40
  4. Step 4: Simplify right side
    32,077.98x = 475,624,949.35
  5. Step 5: Solve for x
    x = 475,624,949.35/32,077.98
  6. Step 6: Final answer
    x = 14,827.15

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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.