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Finding the Fourth Proportional to 37,970.60, 56,984.40 and 14,301.50

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Solution

The fourth proportional to 37,970.60, 56,984.40 and 14,301.50 is: 21,462.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,970.60 : 56,984.40 = 14,301.50 : x
  2. Step 2: Convert to fraction form
    37,970.60/56,984.40 = 14,301.50/x
  3. Step 3: Cross multiply
    37,970.60x = 56,984.40 × 14,301.50
  4. Step 4: Simplify right side
    37,970.60x = 814,962,111.68
  5. Step 5: Solve for x
    x = 814,962,111.68/37,970.60
  6. Step 6: Final answer
    x = 21,462.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.