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Finding the Fourth Proportional to 47,496, 65,570.64 and 35,555.04

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Solution

The fourth proportional to 47,496, 65,570.64 and 35,555.04 is: 49,085.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,496 : 65,570.64 = 35,555.04 : x
  2. Step 2: Convert to fraction form
    47,496/65,570.64 = 35,555.04/x
  3. Step 3: Cross multiply
    47,496x = 65,570.64 × 35,555.04
  4. Step 4: Simplify right side
    47,496x = 2,331,366,728.03
  5. Step 5: Solve for x
    x = 2,331,366,728.03/47,496
  6. Step 6: Final answer
    x = 49,085.54

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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.