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Finding the Fourth Proportional to 78,460.52, 117,749.70 and 41,030.01

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Solution

The fourth proportional to 78,460.52, 117,749.70 and 41,030.01 is: 61,575.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,460.52 : 117,749.70 = 41,030.01 : x
  2. Step 2: Convert to fraction form
    78,460.52/117,749.70 = 41,030.01/x
  3. Step 3: Cross multiply
    78,460.52x = 117,749.70 × 41,030.01
  4. Step 4: Simplify right side
    78,460.52x = 4,831,271,368.50
  5. Step 5: Solve for x
    x = 4,831,271,368.50/78,460.52
  6. Step 6: Final answer
    x = 61,575.83

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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.