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Finding the Fourth Proportional to 77,779.94, 116,715.26 and 32,798.54

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Solution

The fourth proportional to 77,779.94, 116,715.26 and 32,798.54 is: 49,216.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,779.94 : 116,715.26 = 32,798.54 : x
  2. Step 2: Convert to fraction form
    77,779.94/116,715.26 = 32,798.54/x
  3. Step 3: Cross multiply
    77,779.94x = 116,715.26 × 32,798.54
  4. Step 4: Simplify right side
    77,779.94x = 3,828,090,123.72
  5. Step 5: Solve for x
    x = 3,828,090,123.72/77,779.94
  6. Step 6: Final answer
    x = 49,216.93

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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.