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Finding the Fourth Proportional to 78,752.72, 118,129.54 and 19,588.40

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Solution

The fourth proportional to 78,752.72, 118,129.54 and 19,588.40 is: 29,382.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,752.72 : 118,129.54 = 19,588.40 : x
  2. Step 2: Convert to fraction form
    78,752.72/118,129.54 = 19,588.40/x
  3. Step 3: Cross multiply
    78,752.72x = 118,129.54 × 19,588.40
  4. Step 4: Simplify right side
    78,752.72x = 2,313,968,681.34
  5. Step 5: Solve for x
    x = 2,313,968,681.34/78,752.72
  6. Step 6: Final answer
    x = 29,382.71

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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.