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Finding the Fourth Proportional to 38,493.84, 57,746.76 and 16,307.40

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Solution

The fourth proportional to 38,493.84, 57,746.76 and 16,307.40 is: 24,463.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,493.84 : 57,746.76 = 16,307.40 : x
  2. Step 2: Convert to fraction form
    38,493.84/57,746.76 = 16,307.40/x
  3. Step 3: Cross multiply
    38,493.84x = 57,746.76 × 16,307.40
  4. Step 4: Simplify right side
    38,493.84x = 941,699,514.02
  5. Step 5: Solve for x
    x = 941,699,514.02/38,493.84
  6. Step 6: Final answer
    x = 24,463.64

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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.