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Finding the Fourth Proportional to 32,554.80, 48,837.08 and 11,783.16

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Solution

The fourth proportional to 32,554.80, 48,837.08 and 11,783.16 is: 17,676.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,554.80 : 48,837.08 = 11,783.16 : x
  2. Step 2: Convert to fraction form
    32,554.80/48,837.08 = 11,783.16/x
  3. Step 3: Cross multiply
    32,554.80x = 48,837.08 × 11,783.16
  4. Step 4: Simplify right side
    32,554.80x = 575,455,068.66
  5. Step 5: Solve for x
    x = 575,455,068.66/32,554.80
  6. Step 6: Final answer
    x = 17,676.50

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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.