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Finding the Fourth Proportional to 46,681.82, 64,420.82 and 25,461.08

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Solution

The fourth proportional to 46,681.82, 64,420.82 and 25,461.08 is: 35,136.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,681.82 : 64,420.82 = 25,461.08 : x
  2. Step 2: Convert to fraction form
    46,681.82/64,420.82 = 25,461.08/x
  3. Step 3: Cross multiply
    46,681.82x = 64,420.82 × 25,461.08
  4. Step 4: Simplify right side
    46,681.82x = 1,640,223,901.70
  5. Step 5: Solve for x
    x = 1,640,223,901.70/46,681.82
  6. Step 6: Final answer
    x = 35,136.25

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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.