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Finding the Fourth Proportional to 49,878.66, 74,830.19 and 16,598.66

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Solution

The fourth proportional to 49,878.66, 74,830.19 and 16,598.66 is: 24,902.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,878.66 : 74,830.19 = 16,598.66 : x
  2. Step 2: Convert to fraction form
    49,878.66/74,830.19 = 16,598.66/x
  3. Step 3: Cross multiply
    49,878.66x = 74,830.19 × 16,598.66
  4. Step 4: Simplify right side
    49,878.66x = 1,242,080,881.55
  5. Step 5: Solve for x
    x = 1,242,080,881.55/49,878.66
  6. Step 6: Final answer
    x = 24,902.05

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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.