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Finding the Fourth Proportional to 77,963.84, 107,607.84 and 46,151.36

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Solution

The fourth proportional to 77,963.84, 107,607.84 and 46,151.36 is: 63,699.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,963.84 : 107,607.84 = 46,151.36 : x
  2. Step 2: Convert to fraction form
    77,963.84/107,607.84 = 46,151.36/x
  3. Step 3: Cross multiply
    77,963.84x = 107,607.84 × 46,151.36
  4. Step 4: Simplify right side
    77,963.84x = 4,966,248,162.66
  5. Step 5: Solve for x
    x = 4,966,248,162.66/77,963.84
  6. Step 6: Final answer
    x = 63,699.38

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1.5x scale

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.