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Finding the Fourth Proportional to 64,006.12, 88,328.70 and 35,713

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Solution

The fourth proportional to 64,006.12, 88,328.70 and 35,713 is: 49,284.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,006.12 : 88,328.70 = 35,713 : x
  2. Step 2: Convert to fraction form
    64,006.12/88,328.70 = 35,713/x
  3. Step 3: Cross multiply
    64,006.12x = 88,328.70 × 35,713
  4. Step 4: Simplify right side
    64,006.12x = 3,154,482,863.10
  5. Step 5: Solve for x
    x = 3,154,482,863.10/64,006.12
  6. Step 6: Final answer
    x = 49,284.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.