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Finding the Fourth Proportional to 76,856.70, 106,031.67 and 46,630.95

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Solution

The fourth proportional to 76,856.70, 106,031.67 and 46,630.95 is: 64,332.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,856.70 : 106,031.67 = 46,630.95 : x
  2. Step 2: Convert to fraction form
    76,856.70/106,031.67 = 46,630.95/x
  3. Step 3: Cross multiply
    76,856.70x = 106,031.67 × 46,630.95
  4. Step 4: Simplify right side
    76,856.70x = 4,944,357,502.19
  5. Step 5: Solve for x
    x = 4,944,357,502.19/76,856.70
  6. Step 6: Final answer
    x = 64,332.16

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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.