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Finding the Fourth Proportional to 35,218.34, 52,827.74 and 8,923.16

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Solution

The fourth proportional to 35,218.34, 52,827.74 and 8,923.16 is: 13,384.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,218.34 : 52,827.74 = 8,923.16 : x
  2. Step 2: Convert to fraction form
    35,218.34/52,827.74 = 8,923.16/x
  3. Step 3: Cross multiply
    35,218.34x = 52,827.74 × 8,923.16
  4. Step 4: Simplify right side
    35,218.34x = 471,390,376.46
  5. Step 5: Solve for x
    x = 471,390,376.46/35,218.34
  6. Step 6: Final answer
    x = 13,384.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.