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Finding the Fourth Proportional to 31,107.66, 46,670.80 and 10,051.01

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Solution

The fourth proportional to 31,107.66, 46,670.80 and 10,051.01 is: 15,079.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,107.66 : 46,670.80 = 10,051.01 : x
  2. Step 2: Convert to fraction form
    31,107.66/46,670.80 = 10,051.01/x
  3. Step 3: Cross multiply
    31,107.66x = 46,670.80 × 10,051.01
  4. Step 4: Simplify right side
    31,107.66x = 469,088,677.51
  5. Step 5: Solve for x
    x = 469,088,677.51/31,107.66
  6. Step 6: Final answer
    x = 15,079.52

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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.