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Finding the Fourth Proportional to 84,341.16, 116,392.14 and 46,615.68

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Solution

The fourth proportional to 84,341.16, 116,392.14 and 46,615.68 is: 64,330.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,341.16 : 116,392.14 = 46,615.68 : x
  2. Step 2: Convert to fraction form
    84,341.16/116,392.14 = 46,615.68/x
  3. Step 3: Cross multiply
    84,341.16x = 116,392.14 × 46,615.68
  4. Step 4: Simplify right side
    84,341.16x = 5,425,698,752.76
  5. Step 5: Solve for x
    x = 5,425,698,752.76/84,341.16
  6. Step 6: Final answer
    x = 64,330.38

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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.