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Finding the Fourth Proportional to 77,536.32, 116,127.36 and 46,307.52

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Solution

The fourth proportional to 77,536.32, 116,127.36 and 46,307.52 is: 69,355.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,536.32 : 116,127.36 = 46,307.52 : x
  2. Step 2: Convert to fraction form
    77,536.32/116,127.36 = 46,307.52/x
  3. Step 3: Cross multiply
    77,536.32x = 116,127.36 × 46,307.52
  4. Step 4: Simplify right side
    77,536.32x = 5,377,570,045.75
  5. Step 5: Solve for x
    x = 5,377,570,045.75/77,536.32
  6. Step 6: Final answer
    x = 69,355.50

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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.