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Finding the Fourth Proportional to 82,602.68, 113,984.63 and 45,810.08

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Solution

The fourth proportional to 82,602.68, 113,984.63 and 45,810.08 is: 63,213.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,602.68 : 113,984.63 = 45,810.08 : x
  2. Step 2: Convert to fraction form
    82,602.68/113,984.63 = 45,810.08/x
  3. Step 3: Cross multiply
    82,602.68x = 113,984.63 × 45,810.08
  4. Step 4: Simplify right side
    82,602.68x = 5,221,644,220.10
  5. Step 5: Solve for x
    x = 5,221,644,220.10/82,602.68
  6. Step 6: Final answer
    x = 63,213.98

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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.