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Finding the Fourth Proportional to 77,235.48, 106,593.90 and 47,038.50

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Solution

The fourth proportional to 77,235.48, 106,593.90 and 47,038.50 is: 64,918.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,235.48 : 106,593.90 = 47,038.50 : x
  2. Step 2: Convert to fraction form
    77,235.48/106,593.90 = 47,038.50/x
  3. Step 3: Cross multiply
    77,235.48x = 106,593.90 × 47,038.50
  4. Step 4: Simplify right side
    77,235.48x = 5,014,017,165.15
  5. Step 5: Solve for x
    x = 5,014,017,165.15/77,235.48
  6. Step 6: Final answer
    x = 64,918.57

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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.