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Finding the Fourth Proportional to 84,343.68, 116,389.71 and 46,615.50

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Solution

The fourth proportional to 84,343.68, 116,389.71 and 46,615.50 is: 64,326.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,343.68 : 116,389.71 = 46,615.50 : x
  2. Step 2: Convert to fraction form
    84,343.68/116,389.71 = 46,615.50/x
  3. Step 3: Cross multiply
    84,343.68x = 116,389.71 × 46,615.50
  4. Step 4: Simplify right side
    84,343.68x = 5,425,564,526.51
  5. Step 5: Solve for x
    x = 5,425,564,526.51/84,343.68
  6. Step 6: Final answer
    x = 64,326.87

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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.