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Finding the Fourth Proportional to 84,254.52, 116,271.80 and 46,013.08

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Solution

The fourth proportional to 84,254.52, 116,271.80 and 46,013.08 is: 63,498.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,254.52 : 116,271.80 = 46,013.08 : x
  2. Step 2: Convert to fraction form
    84,254.52/116,271.80 = 46,013.08/x
  3. Step 3: Cross multiply
    84,254.52x = 116,271.80 × 46,013.08
  4. Step 4: Simplify right side
    84,254.52x = 5,350,023,635.14
  5. Step 5: Solve for x
    x = 5,350,023,635.14/84,254.52
  6. Step 6: Final answer
    x = 63,498.36

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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.