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Finding the Fourth Proportional to 65,128.32, 89,877.24 and 35,320.32

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Solution

The fourth proportional to 65,128.32, 89,877.24 and 35,320.32 is: 48,742.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,128.32 : 89,877.24 = 35,320.32 : x
  2. Step 2: Convert to fraction form
    65,128.32/89,877.24 = 35,320.32/x
  3. Step 3: Cross multiply
    65,128.32x = 89,877.24 × 35,320.32
  4. Step 4: Simplify right side
    65,128.32x = 3,174,492,877.52
  5. Step 5: Solve for x
    x = 3,174,492,877.52/65,128.32
  6. Step 6: Final answer
    x = 48,742.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.