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Finding the Fourth Proportional to 37,537.66, 56,302.29 and 9,457.70

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Solution

The fourth proportional to 37,537.66, 56,302.29 and 9,457.70 is: 14,185.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,537.66 : 56,302.29 = 9,457.70 : x
  2. Step 2: Convert to fraction form
    37,537.66/56,302.29 = 9,457.70/x
  3. Step 3: Cross multiply
    37,537.66x = 56,302.29 × 9,457.70
  4. Step 4: Simplify right side
    37,537.66x = 532,490,168.13
  5. Step 5: Solve for x
    x = 532,490,168.13/37,537.66
  6. Step 6: Final answer
    x = 14,185.49

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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.