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Finding the Fourth Proportional to 46,598.95, 69,829.30 and 34,226.47

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Solution

The fourth proportional to 46,598.95, 69,829.30 and 34,226.47 is: 51,288.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,598.95 : 69,829.30 = 34,226.47 : x
  2. Step 2: Convert to fraction form
    46,598.95/69,829.30 = 34,226.47/x
  3. Step 3: Cross multiply
    46,598.95x = 69,829.30 × 34,226.47
  4. Step 4: Simplify right side
    46,598.95x = 2,390,010,441.57
  5. Step 5: Solve for x
    x = 2,390,010,441.57/46,598.95
  6. Step 6: Final answer
    x = 51,288.93

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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.