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Finding the Fourth Proportional to 32,526.78, 48,784.74 and 11,461.86

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Solution

The fourth proportional to 32,526.78, 48,784.74 and 11,461.86 is: 17,190.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,526.78 : 48,784.74 = 11,461.86 : x
  2. Step 2: Convert to fraction form
    32,526.78/48,784.74 = 11,461.86/x
  3. Step 3: Cross multiply
    32,526.78x = 48,784.74 × 11,461.86
  4. Step 4: Simplify right side
    32,526.78x = 559,163,860.02
  5. Step 5: Solve for x
    x = 559,163,860.02/32,526.78
  6. Step 6: Final answer
    x = 17,190.88

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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.