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Finding the Fourth Proportional to 98,947.02, 148,420.52 and 43,543.02

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Solution

The fourth proportional to 98,947.02, 148,420.52 and 43,543.02 is: 65,314.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,947.02 : 148,420.52 = 43,543.02 : x
  2. Step 2: Convert to fraction form
    98,947.02/148,420.52 = 43,543.02/x
  3. Step 3: Cross multiply
    98,947.02x = 148,420.52 × 43,543.02
  4. Step 4: Simplify right side
    98,947.02x = 6,462,677,670.77
  5. Step 5: Solve for x
    x = 6,462,677,670.77/98,947.02
  6. Step 6: Final answer
    x = 65,314.53

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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.