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Finding the Fourth Proportional to 55,120.32, 75,870 and 46,068.48

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Solution

The fourth proportional to 55,120.32, 75,870 and 46,068.48 is: 63,410.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,120.32 : 75,870 = 46,068.48 : x
  2. Step 2: Convert to fraction form
    55,120.32/75,870 = 46,068.48/x
  3. Step 3: Cross multiply
    55,120.32x = 75,870 × 46,068.48
  4. Step 4: Simplify right side
    55,120.32x = 3,495,215,577.60
  5. Step 5: Solve for x
    x = 3,495,215,577.60/55,120.32
  6. Step 6: Final answer
    x = 63,410.65

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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.