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Finding the Fourth Proportional to 117,284.46, 175,926.84 and 28,537.98

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Solution

The fourth proportional to 117,284.46, 175,926.84 and 28,537.98 is: 42,807.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,284.46 : 175,926.84 = 28,537.98 : x
  2. Step 2: Convert to fraction form
    117,284.46/175,926.84 = 28,537.98/x
  3. Step 3: Cross multiply
    117,284.46x = 175,926.84 × 28,537.98
  4. Step 4: Simplify right side
    117,284.46x = 5,020,596,641.38
  5. Step 5: Solve for x
    x = 5,020,596,641.38/117,284.46
  6. Step 6: Final answer
    x = 42,807.01

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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.