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Finding the Fourth Proportional to 32,646.32, 48,893.52 and 31,748.40

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Solution

The fourth proportional to 32,646.32, 48,893.52 and 31,748.40 is: 47,548.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,646.32 : 48,893.52 = 31,748.40 : x
  2. Step 2: Convert to fraction form
    32,646.32/48,893.52 = 31,748.40/x
  3. Step 3: Cross multiply
    32,646.32x = 48,893.52 × 31,748.40
  4. Step 4: Simplify right side
    32,646.32x = 1,552,291,030.37
  5. Step 5: Solve for x
    x = 1,552,291,030.37/32,646.32
  6. Step 6: Final answer
    x = 47,548.73

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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.