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Finding the Fourth Proportional to 84,695.16, 116,878.53 and 46,453.93

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Solution

The fourth proportional to 84,695.16, 116,878.53 and 46,453.93 is: 64,105.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,695.16 : 116,878.53 = 46,453.93 : x
  2. Step 2: Convert to fraction form
    84,695.16/116,878.53 = 46,453.93/x
  3. Step 3: Cross multiply
    84,695.16x = 116,878.53 × 46,453.93
  4. Step 4: Simplify right side
    84,695.16x = 5,429,466,818.85
  5. Step 5: Solve for x
    x = 5,429,466,818.85/84,695.16
  6. Step 6: Final answer
    x = 64,105.99

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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.