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Finding the Fourth Proportional to 46,944, 70,416 and 15,779.25

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Solution

The fourth proportional to 46,944, 70,416 and 15,779.25 is: 23,668.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,944 : 70,416 = 15,779.25 : x
  2. Step 2: Convert to fraction form
    46,944/70,416 = 15,779.25/x
  3. Step 3: Cross multiply
    46,944x = 70,416 × 15,779.25
  4. Step 4: Simplify right side
    46,944x = 1,111,111,668
  5. Step 5: Solve for x
    x = 1,111,111,668/46,944
  6. Step 6: Final answer
    x = 23,668.88

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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.