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Finding the Fourth Proportional to 52,738.68, 79,097.94 and 15,802.68

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Solution

The fourth proportional to 52,738.68, 79,097.94 and 15,802.68 is: 23,701.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,738.68 : 79,097.94 = 15,802.68 : x
  2. Step 2: Convert to fraction form
    52,738.68/79,097.94 = 15,802.68/x
  3. Step 3: Cross multiply
    52,738.68x = 79,097.94 × 15,802.68
  4. Step 4: Simplify right side
    52,738.68x = 1,249,959,434.48
  5. Step 5: Solve for x
    x = 1,249,959,434.48/52,738.68
  6. Step 6: Final answer
    x = 23,701.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.