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Finding the Fourth Proportional to 117,590.16, 176,409.54 and 38,709.12

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Solution

The fourth proportional to 117,590.16, 176,409.54 and 38,709.12 is: 58,071.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,590.16 : 176,409.54 = 38,709.12 : x
  2. Step 2: Convert to fraction form
    117,590.16/176,409.54 = 38,709.12/x
  3. Step 3: Cross multiply
    117,590.16x = 176,409.54 × 38,709.12
  4. Step 4: Simplify right side
    117,590.16x = 6,828,658,053.00
  5. Step 5: Solve for x
    x = 6,828,658,053.00/117,590.16
  6. Step 6: Final answer
    x = 58,071.68

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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.