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Finding the Fourth Proportional to 85,726.64, 128,527.65 and 35,821.02

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Solution

The fourth proportional to 85,726.64, 128,527.65 and 35,821.02 is: 53,705.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,726.64 : 128,527.65 = 35,821.02 : x
  2. Step 2: Convert to fraction form
    85,726.64/128,527.65 = 35,821.02/x
  3. Step 3: Cross multiply
    85,726.64x = 128,527.65 × 35,821.02
  4. Step 4: Simplify right side
    85,726.64x = 4,603,991,521.20
  5. Step 5: Solve for x
    x = 4,603,991,521.20/85,726.64
  6. Step 6: Final answer
    x = 53,705.50

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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.