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Finding the Fourth Proportional to 32,091.98, 48,134.92 and 9,899.40

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Solution

The fourth proportional to 32,091.98, 48,134.92 and 9,899.40 is: 14,848.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,091.98 : 48,134.92 = 9,899.40 : x
  2. Step 2: Convert to fraction form
    32,091.98/48,134.92 = 9,899.40/x
  3. Step 3: Cross multiply
    32,091.98x = 48,134.92 × 9,899.40
  4. Step 4: Simplify right side
    32,091.98x = 476,506,827.05
  5. Step 5: Solve for x
    x = 476,506,827.05/32,091.98
  6. Step 6: Final answer
    x = 14,848.16

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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.