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Finding the Fourth Proportional to 78,291.65, 108,070.49 and 46,460.54

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Solution

The fourth proportional to 78,291.65, 108,070.49 and 46,460.54 is: 64,132.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,291.65 : 108,070.49 = 46,460.54 : x
  2. Step 2: Convert to fraction form
    78,291.65/108,070.49 = 46,460.54/x
  3. Step 3: Cross multiply
    78,291.65x = 108,070.49 × 46,460.54
  4. Step 4: Simplify right side
    78,291.65x = 5,021,013,091.16
  5. Step 5: Solve for x
    x = 5,021,013,091.16/78,291.65
  6. Step 6: Final answer
    x = 64,132.17

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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.