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Finding the Fourth Proportional to 75,463.98, 104,140.91 and 47,186.06

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Solution

The fourth proportional to 75,463.98, 104,140.91 and 47,186.06 is: 65,117.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,463.98 : 104,140.91 = 47,186.06 : x
  2. Step 2: Convert to fraction form
    75,463.98/104,140.91 = 47,186.06/x
  3. Step 3: Cross multiply
    75,463.98x = 104,140.91 × 47,186.06
  4. Step 4: Simplify right side
    75,463.98x = 4,913,999,227.71
  5. Step 5: Solve for x
    x = 4,913,999,227.71/75,463.98
  6. Step 6: Final answer
    x = 65,117.15

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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.