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Finding the Fourth Proportional to 64,776.90, 97,046.98 and 46,963.40

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Solution

The fourth proportional to 64,776.90, 97,046.98 and 46,963.40 is: 70,359.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,776.90 : 97,046.98 = 46,963.40 : x
  2. Step 2: Convert to fraction form
    64,776.90/97,046.98 = 46,963.40/x
  3. Step 3: Cross multiply
    64,776.90x = 97,046.98 × 46,963.40
  4. Step 4: Simplify right side
    64,776.90x = 4,557,656,140.53
  5. Step 5: Solve for x
    x = 4,557,656,140.53/64,776.90
  6. Step 6: Final answer
    x = 70,359.28

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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.