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Finding the Fourth Proportional to 30,204.88, 45,307.32 and 9,430.16

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Solution

The fourth proportional to 30,204.88, 45,307.32 and 9,430.16 is: 14,145.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,204.88 : 45,307.32 = 9,430.16 : x
  2. Step 2: Convert to fraction form
    30,204.88/45,307.32 = 9,430.16/x
  3. Step 3: Cross multiply
    30,204.88x = 45,307.32 × 9,430.16
  4. Step 4: Simplify right side
    30,204.88x = 427,255,276.77
  5. Step 5: Solve for x
    x = 427,255,276.77/30,204.88
  6. Step 6: Final answer
    x = 14,145.24

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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.