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Finding the Fourth Proportional to 32,557, 48,806.54 and 11,775.88

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Solution

The fourth proportional to 32,557, 48,806.54 and 11,775.88 is: 17,653.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,557 : 48,806.54 = 11,775.88 : x
  2. Step 2: Convert to fraction form
    32,557/48,806.54 = 11,775.88/x
  3. Step 3: Cross multiply
    32,557x = 48,806.54 × 11,775.88
  4. Step 4: Simplify right side
    32,557x = 574,739,958.26
  5. Step 5: Solve for x
    x = 574,739,958.26/32,557
  6. Step 6: Final answer
    x = 17,653.35

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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.