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Finding the Fourth Proportional to 55,649.84, 76,798.73 and 31,776.08

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Solution

The fourth proportional to 55,649.84, 76,798.73 and 31,776.08 is: 43,852.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,649.84 : 76,798.73 = 31,776.08 : x
  2. Step 2: Convert to fraction form
    55,649.84/76,798.73 = 31,776.08/x
  3. Step 3: Cross multiply
    55,649.84x = 76,798.73 × 31,776.08
  4. Step 4: Simplify right side
    55,649.84x = 2,440,362,283.82
  5. Step 5: Solve for x
    x = 2,440,362,283.82/55,649.84
  6. Step 6: Final answer
    x = 43,852.10

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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.