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Finding the Fourth Proportional to 31,312.32, 46,968.16 and 9,424.32

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Solution

The fourth proportional to 31,312.32, 46,968.16 and 9,424.32 is: 14,136.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,312.32 : 46,968.16 = 9,424.32 : x
  2. Step 2: Convert to fraction form
    31,312.32/46,968.16 = 9,424.32/x
  3. Step 3: Cross multiply
    31,312.32x = 46,968.16 × 9,424.32
  4. Step 4: Simplify right side
    31,312.32x = 442,642,969.65
  5. Step 5: Solve for x
    x = 442,642,969.65/31,312.32
  6. Step 6: Final answer
    x = 14,136.38

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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.