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Finding the Fourth Proportional to 30,907.12, 46,345.32 and 9,844.42

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Solution

The fourth proportional to 30,907.12, 46,345.32 and 9,844.42 is: 14,761.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,907.12 : 46,345.32 = 9,844.42 : x
  2. Step 2: Convert to fraction form
    30,907.12/46,345.32 = 9,844.42/x
  3. Step 3: Cross multiply
    30,907.12x = 46,345.32 × 9,844.42
  4. Step 4: Simplify right side
    30,907.12x = 456,242,795.11
  5. Step 5: Solve for x
    x = 456,242,795.11/30,907.12
  6. Step 6: Final answer
    x = 14,761.74

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1.5x scale

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.