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Finding the Fourth Proportional to 37,526.58, 56,290.35 and 9,824.50

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Solution

The fourth proportional to 37,526.58, 56,290.35 and 9,824.50 is: 14,736.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,526.58 : 56,290.35 = 9,824.50 : x
  2. Step 2: Convert to fraction form
    37,526.58/56,290.35 = 9,824.50/x
  3. Step 3: Cross multiply
    37,526.58x = 56,290.35 × 9,824.50
  4. Step 4: Simplify right side
    37,526.58x = 553,024,543.58
  5. Step 5: Solve for x
    x = 553,024,543.58/37,526.58
  6. Step 6: Final answer
    x = 14,736.88

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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.