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Finding the Fourth Proportional to 37,493.16, 56,242.14 and 13,807.08

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Solution

The fourth proportional to 37,493.16, 56,242.14 and 13,807.08 is: 20,711.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,493.16 : 56,242.14 = 13,807.08 : x
  2. Step 2: Convert to fraction form
    37,493.16/56,242.14 = 13,807.08/x
  3. Step 3: Cross multiply
    37,493.16x = 56,242.14 × 13,807.08
  4. Step 4: Simplify right side
    37,493.16x = 776,539,726.35
  5. Step 5: Solve for x
    x = 776,539,726.35/37,493.16
  6. Step 6: Final answer
    x = 20,711.50

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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.