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Finding the Fourth Proportional to 37,048.50, 55,572.84 and 9,346.50

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Solution

The fourth proportional to 37,048.50, 55,572.84 and 9,346.50 is: 14,019.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,048.50 : 55,572.84 = 9,346.50 : x
  2. Step 2: Convert to fraction form
    37,048.50/55,572.84 = 9,346.50/x
  3. Step 3: Cross multiply
    37,048.50x = 55,572.84 × 9,346.50
  4. Step 4: Simplify right side
    37,048.50x = 519,411,549.06
  5. Step 5: Solve for x
    x = 519,411,549.06/37,048.50
  6. Step 6: Final answer
    x = 14,019.77

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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.