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Finding the Fourth Proportional to 30,602.60, 45,899.57 and 9,823.40

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Solution

The fourth proportional to 30,602.60, 45,899.57 and 9,823.40 is: 14,733.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,602.60 : 45,899.57 = 9,823.40 : x
  2. Step 2: Convert to fraction form
    30,602.60/45,899.57 = 9,823.40/x
  3. Step 3: Cross multiply
    30,602.60x = 45,899.57 × 9,823.40
  4. Step 4: Simplify right side
    30,602.60x = 450,889,557.32
  5. Step 5: Solve for x
    x = 450,889,557.32/30,602.60
  6. Step 6: Final answer
    x = 14,733.70

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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.