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Finding the Fourth Proportional to 74,698, 103,085.40 and 41,166.16

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Solution

The fourth proportional to 74,698, 103,085.40 and 41,166.16 is: 56,810.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,698 : 103,085.40 = 41,166.16 : x
  2. Step 2: Convert to fraction form
    74,698/103,085.40 = 41,166.16/x
  3. Step 3: Cross multiply
    74,698x = 103,085.40 × 41,166.16
  4. Step 4: Simplify right side
    74,698x = 4,243,630,070.06
  5. Step 5: Solve for x
    x = 4,243,630,070.06/74,698
  6. Step 6: Final answer
    x = 56,810.49

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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.