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Finding the Fourth Proportional to 35,385.16, 53,077.74 and 9,089.93

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Solution

The fourth proportional to 35,385.16, 53,077.74 and 9,089.93 is: 13,634.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,385.16 : 53,077.74 = 9,089.93 : x
  2. Step 2: Convert to fraction form
    35,385.16/53,077.74 = 9,089.93/x
  3. Step 3: Cross multiply
    35,385.16x = 53,077.74 × 9,089.93
  4. Step 4: Simplify right side
    35,385.16x = 482,472,941.16
  5. Step 5: Solve for x
    x = 482,472,941.16/35,385.16
  6. Step 6: Final answer
    x = 13,634.90

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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.