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Finding the Fourth Proportional to 46,823.64, 64,616.64 and 25,603.08

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Solution

The fourth proportional to 46,823.64, 64,616.64 and 25,603.08 is: 35,332.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,823.64 : 64,616.64 = 25,603.08 : x
  2. Step 2: Convert to fraction form
    46,823.64/64,616.64 = 25,603.08/x
  3. Step 3: Cross multiply
    46,823.64x = 64,616.64 × 25,603.08
  4. Step 4: Simplify right side
    46,823.64x = 1,654,385,003.25
  5. Step 5: Solve for x
    x = 1,654,385,003.25/46,823.64
  6. Step 6: Final answer
    x = 35,332.26

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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.