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Finding the Fourth Proportional to 113,701.71, 170,570.64 and 37,802.94

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Solution

The fourth proportional to 113,701.71, 170,570.64 and 37,802.94 is: 56,710.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,701.71 : 170,570.64 = 37,802.94 : x
  2. Step 2: Convert to fraction form
    113,701.71/170,570.64 = 37,802.94/x
  3. Step 3: Cross multiply
    113,701.71x = 170,570.64 × 37,802.94
  4. Step 4: Simplify right side
    113,701.71x = 6,448,071,669.68
  5. Step 5: Solve for x
    x = 6,448,071,669.68/113,701.71
  6. Step 6: Final answer
    x = 56,710.42

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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.