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Finding the Fourth Proportional to 37,047, 55,570.50 and 9,345

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Solution

The fourth proportional to 37,047, 55,570.50 and 9,345 is: 14,017.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,047 : 55,570.50 = 9,345 : x
  2. Step 2: Convert to fraction form
    37,047/55,570.50 = 9,345/x
  3. Step 3: Cross multiply
    37,047x = 55,570.50 × 9,345
  4. Step 4: Simplify right side
    37,047x = 519,306,322.50
  5. Step 5: Solve for x
    x = 519,306,322.50/37,047
  6. Step 6: Final answer
    x = 14,017.50

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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.