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Finding the Fourth Proportional to 77,913.34, 116,751.07 and 46,261.07

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Solution

The fourth proportional to 77,913.34, 116,751.07 and 46,261.07 is: 69,320.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,913.34 : 116,751.07 = 46,261.07 : x
  2. Step 2: Convert to fraction form
    77,913.34/116,751.07 = 46,261.07/x
  3. Step 3: Cross multiply
    77,913.34x = 116,751.07 × 46,261.07
  4. Step 4: Simplify right side
    77,913.34x = 5,401,029,421.84
  5. Step 5: Solve for x
    x = 5,401,029,421.84/77,913.34
  6. Step 6: Final answer
    x = 69,320.98

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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.