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Finding the Fourth Proportional to 52,597.16, 78,895.74 and 13,154.27

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Solution

The fourth proportional to 52,597.16, 78,895.74 and 13,154.27 is: 19,731.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,597.16 : 78,895.74 = 13,154.27 : x
  2. Step 2: Convert to fraction form
    52,597.16/78,895.74 = 13,154.27/x
  3. Step 3: Cross multiply
    52,597.16x = 78,895.74 × 13,154.27
  4. Step 4: Simplify right side
    52,597.16x = 1,037,815,865.81
  5. Step 5: Solve for x
    x = 1,037,815,865.81/52,597.16
  6. Step 6: Final answer
    x = 19,731.41

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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.