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Finding the Fourth Proportional to 52,598.66, 78,897.99 and 13,155.78

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Solution

The fourth proportional to 52,598.66, 78,897.99 and 13,155.78 is: 19,733.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,598.66 : 78,897.99 = 13,155.78 : x
  2. Step 2: Convert to fraction form
    52,598.66/78,897.99 = 13,155.78/x
  3. Step 3: Cross multiply
    52,598.66x = 78,897.99 × 13,155.78
  4. Step 4: Simplify right side
    52,598.66x = 1,037,964,598.88
  5. Step 5: Solve for x
    x = 1,037,964,598.88/52,598.66
  6. Step 6: Final answer
    x = 19,733.67

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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.