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Finding the Fourth Proportional to 46,884, 64,702.08 and 25,664.16

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Solution

The fourth proportional to 46,884, 64,702.08 and 25,664.16 is: 35,417.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,884 : 64,702.08 = 25,664.16 : x
  2. Step 2: Convert to fraction form
    46,884/64,702.08 = 25,664.16/x
  3. Step 3: Cross multiply
    46,884x = 64,702.08 × 25,664.16
  4. Step 4: Simplify right side
    46,884x = 1,660,524,533.45
  5. Step 5: Solve for x
    x = 1,660,524,533.45/46,884
  6. Step 6: Final answer
    x = 35,417.72

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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.