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Finding the Fourth Proportional to 89,095.76, 122,952.14 and 53,285.76

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Solution

The fourth proportional to 89,095.76, 122,952.14 and 53,285.76 is: 73,534.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,095.76 : 122,952.14 = 53,285.76 : x
  2. Step 2: Convert to fraction form
    89,095.76/122,952.14 = 53,285.76/x
  3. Step 3: Cross multiply
    89,095.76x = 122,952.14 × 53,285.76
  4. Step 4: Simplify right side
    89,095.76x = 6,551,598,223.53
  5. Step 5: Solve for x
    x = 6,551,598,223.53/89,095.76
  6. Step 6: Final answer
    x = 73,534.34

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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.