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Finding the Fourth Proportional to 78,001.84, 107,655.42 and 57,991.60

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Solution

The fourth proportional to 78,001.84, 107,655.42 and 57,991.60 is: 80,037.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,001.84 : 107,655.42 = 57,991.60 : x
  2. Step 2: Convert to fraction form
    78,001.84/107,655.42 = 57,991.60/x
  3. Step 3: Cross multiply
    78,001.84x = 107,655.42 × 57,991.60
  4. Step 4: Simplify right side
    78,001.84x = 6,243,110,054.47
  5. Step 5: Solve for x
    x = 6,243,110,054.47/78,001.84
  6. Step 6: Final answer
    x = 80,037.98

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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.