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Finding the Fourth Proportional to 65,030.32, 89,741.28 and 35,222.32

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Solution

The fourth proportional to 65,030.32, 89,741.28 and 35,222.32 is: 48,606.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,030.32 : 89,741.28 = 35,222.32 : x
  2. Step 2: Convert to fraction form
    65,030.32/89,741.28 = 35,222.32/x
  3. Step 3: Cross multiply
    65,030.32x = 89,741.28 × 35,222.32
  4. Step 4: Simplify right side
    65,030.32x = 3,160,896,081.37
  5. Step 5: Solve for x
    x = 3,160,896,081.37/65,030.32
  6. Step 6: Final answer
    x = 48,606.50

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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.