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Finding the Fourth Proportional to 81,830.08, 112,924.44 and 46,020.08

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Solution

The fourth proportional to 81,830.08, 112,924.44 and 46,020.08 is: 63,507.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,830.08 : 112,924.44 = 46,020.08 : x
  2. Step 2: Convert to fraction form
    81,830.08/112,924.44 = 46,020.08/x
  3. Step 3: Cross multiply
    81,830.08x = 112,924.44 × 46,020.08
  4. Step 4: Simplify right side
    81,830.08x = 5,196,791,762.76
  5. Step 5: Solve for x
    x = 5,196,791,762.76/81,830.08
  6. Step 6: Final answer
    x = 63,507.11

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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.