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Finding the Fourth Proportional to 77,820.52, 116,767.70 and 46,292.74

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Solution

The fourth proportional to 77,820.52, 116,767.70 and 46,292.74 is: 69,461.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,820.52 : 116,767.70 = 46,292.74 : x
  2. Step 2: Convert to fraction form
    77,820.52/116,767.70 = 46,292.74/x
  3. Step 3: Cross multiply
    77,820.52x = 116,767.70 × 46,292.74
  4. Step 4: Simplify right side
    77,820.52x = 5,405,496,776.50
  5. Step 5: Solve for x
    x = 5,405,496,776.50/77,820.52
  6. Step 6: Final answer
    x = 69,461.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.