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Finding the Fourth Proportional to 71,503.86, 98,689.70 and 41,294.10

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Solution

The fourth proportional to 71,503.86, 98,689.70 and 41,294.10 is: 56,994.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,503.86 : 98,689.70 = 41,294.10 : x
  2. Step 2: Convert to fraction form
    71,503.86/98,689.70 = 41,294.10/x
  3. Step 3: Cross multiply
    71,503.86x = 98,689.70 × 41,294.10
  4. Step 4: Simplify right side
    71,503.86x = 4,075,302,340.77
  5. Step 5: Solve for x
    x = 4,075,302,340.77/71,503.86
  6. Step 6: Final answer
    x = 56,994.16

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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.