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Finding the Fourth Proportional to 123,784.54, 185,708.08 and 35,038.82

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Solution

The fourth proportional to 123,784.54, 185,708.08 and 35,038.82 is: 52,567.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,784.54 : 185,708.08 = 35,038.82 : x
  2. Step 2: Convert to fraction form
    123,784.54/185,708.08 = 35,038.82/x
  3. Step 3: Cross multiply
    123,784.54x = 185,708.08 × 35,038.82
  4. Step 4: Simplify right side
    123,784.54x = 6,506,991,140.70
  5. Step 5: Solve for x
    x = 6,506,991,140.70/123,784.54
  6. Step 6: Final answer
    x = 52,567.07

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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.