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Finding the Fourth Proportional to 95,004, 142,506 and 40,946.52

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Solution

The fourth proportional to 95,004, 142,506 and 40,946.52 is: 61,419.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,004 : 142,506 = 40,946.52 : x
  2. Step 2: Convert to fraction form
    95,004/142,506 = 40,946.52/x
  3. Step 3: Cross multiply
    95,004x = 142,506 × 40,946.52
  4. Step 4: Simplify right side
    95,004x = 5,835,124,779.12
  5. Step 5: Solve for x
    x = 5,835,124,779.12/95,004
  6. Step 6: Final answer
    x = 61,419.78

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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.