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Finding the Fourth Proportional to 47,651, 65,758.69 and 26,430.32

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Solution

The fourth proportional to 47,651, 65,758.69 and 26,430.32 is: 36,474.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,651 : 65,758.69 = 26,430.32 : x
  2. Step 2: Convert to fraction form
    47,651/65,758.69 = 26,430.32/x
  3. Step 3: Cross multiply
    47,651x = 65,758.69 × 26,430.32
  4. Step 4: Simplify right side
    47,651x = 1,738,023,219.48
  5. Step 5: Solve for x
    x = 1,738,023,219.48/47,651
  6. Step 6: Final answer
    x = 36,474.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.