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Finding the Fourth Proportional to 84,008.63, 115,931.90 and 46,283.69

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Solution

The fourth proportional to 84,008.63, 115,931.90 and 46,283.69 is: 63,871.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,008.63 : 115,931.90 = 46,283.69 : x
  2. Step 2: Convert to fraction form
    84,008.63/115,931.90 = 46,283.69/x
  3. Step 3: Cross multiply
    84,008.63x = 115,931.90 × 46,283.69
  4. Step 4: Simplify right side
    84,008.63x = 5,365,755,656.76
  5. Step 5: Solve for x
    x = 5,365,755,656.76/84,008.63
  6. Step 6: Final answer
    x = 63,871.49

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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.