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Finding the Fourth Proportional to 34,319.16, 51,478.08 and 9,358.80

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Solution

The fourth proportional to 34,319.16, 51,478.08 and 9,358.80 is: 14,038.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,319.16 : 51,478.08 = 9,358.80 : x
  2. Step 2: Convert to fraction form
    34,319.16/51,478.08 = 9,358.80/x
  3. Step 3: Cross multiply
    34,319.16x = 51,478.08 × 9,358.80
  4. Step 4: Simplify right side
    34,319.16x = 481,773,055.10
  5. Step 5: Solve for x
    x = 481,773,055.10/34,319.16
  6. Step 6: Final answer
    x = 14,038.02

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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.