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Finding the Fourth Proportional to 32,700, 49,050.47 and 9,326.45

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Solution

The fourth proportional to 32,700, 49,050.47 and 9,326.45 is: 13,989.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,700 : 49,050.47 = 9,326.45 : x
  2. Step 2: Convert to fraction form
    32,700/49,050.47 = 9,326.45/x
  3. Step 3: Cross multiply
    32,700x = 49,050.47 × 9,326.45
  4. Step 4: Simplify right side
    32,700x = 457,466,464.05
  5. Step 5: Solve for x
    x = 457,466,464.05/32,700
  6. Step 6: Final answer
    x = 13,989.80

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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.