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Finding the Fourth Proportional to 78,345.01, 117,536.82 and 22,941.01

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Solution

The fourth proportional to 78,345.01, 117,536.82 and 22,941.01 is: 34,417.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,345.01 : 117,536.82 = 22,941.01 : x
  2. Step 2: Convert to fraction form
    78,345.01/117,536.82 = 22,941.01/x
  3. Step 3: Cross multiply
    78,345.01x = 117,536.82 × 22,941.01
  4. Step 4: Simplify right side
    78,345.01x = 2,696,413,362.99
  5. Step 5: Solve for x
    x = 2,696,413,362.99/78,345.01
  6. Step 6: Final answer
    x = 34,417.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.