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Finding the Fourth Proportional to 31,141.51, 46,683.51 and 12,417.01

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Solution

The fourth proportional to 31,141.51, 46,683.51 and 12,417.01 is: 18,614.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,141.51 : 46,683.51 = 12,417.01 : x
  2. Step 2: Convert to fraction form
    31,141.51/46,683.51 = 12,417.01/x
  3. Step 3: Cross multiply
    31,141.51x = 46,683.51 × 12,417.01
  4. Step 4: Simplify right side
    31,141.51x = 579,669,610.51
  5. Step 5: Solve for x
    x = 579,669,610.51/31,141.51
  6. Step 6: Final answer
    x = 18,614.05

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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.