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Finding the Fourth Proportional to 84,658.15, 116,829.57 and 46,421.20

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Solution

The fourth proportional to 84,658.15, 116,829.57 and 46,421.20 is: 64,061.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,658.15 : 116,829.57 = 46,421.20 : x
  2. Step 2: Convert to fraction form
    84,658.15/116,829.57 = 46,421.20/x
  3. Step 3: Cross multiply
    84,658.15x = 116,829.57 × 46,421.20
  4. Step 4: Simplify right side
    84,658.15x = 5,423,368,834.88
  5. Step 5: Solve for x
    x = 5,423,368,834.88/84,658.15
  6. Step 6: Final answer
    x = 64,061.98

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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.