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Finding the Fourth Proportional to 96,486.48, 144,729.72 and 29,925

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Solution

The fourth proportional to 96,486.48, 144,729.72 and 29,925 is: 44,887.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,486.48 : 144,729.72 = 29,925 : x
  2. Step 2: Convert to fraction form
    96,486.48/144,729.72 = 29,925/x
  3. Step 3: Cross multiply
    96,486.48x = 144,729.72 × 29,925
  4. Step 4: Simplify right side
    96,486.48x = 4,331,036,871
  5. Step 5: Solve for x
    x = 4,331,036,871/96,486.48
  6. Step 6: Final answer
    x = 44,887.50

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1.5x scale

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.