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Finding the Fourth Proportional to 97,114.68, 133,952.94 and 59,323.32

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Solution

The fourth proportional to 97,114.68, 133,952.94 and 59,323.32 is: 81,826.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,114.68 : 133,952.94 = 59,323.32 : x
  2. Step 2: Convert to fraction form
    97,114.68/133,952.94 = 59,323.32/x
  3. Step 3: Cross multiply
    97,114.68x = 133,952.94 × 59,323.32
  4. Step 4: Simplify right side
    97,114.68x = 7,946,533,124.56
  5. Step 5: Solve for x
    x = 7,946,533,124.56/97,114.68
  6. Step 6: Final answer
    x = 81,826.28

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1.5x scale

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.