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Finding the Fourth Proportional to 77,147.89, 106,485.50 and 44,888.74

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Solution

The fourth proportional to 77,147.89, 106,485.50 and 44,888.74 is: 61,958.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,147.89 : 106,485.50 = 44,888.74 : x
  2. Step 2: Convert to fraction form
    77,147.89/106,485.50 = 44,888.74/x
  3. Step 3: Cross multiply
    77,147.89x = 106,485.50 × 44,888.74
  4. Step 4: Simplify right side
    77,147.89x = 4,779,999,769.28
  5. Step 5: Solve for x
    x = 4,779,999,769.28/77,147.89
  6. Step 6: Final answer
    x = 61,958.92

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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.