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Finding the Fourth Proportional to 35,032.42, 52,465.11 and 19,411.30

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Solution

The fourth proportional to 35,032.42, 52,465.11 and 19,411.30 is: 29,070.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,032.42 : 52,465.11 = 19,411.30 : x
  2. Step 2: Convert to fraction form
    35,032.42/52,465.11 = 19,411.30/x
  3. Step 3: Cross multiply
    35,032.42x = 52,465.11 × 19,411.30
  4. Step 4: Simplify right side
    35,032.42x = 1,018,415,989.74
  5. Step 5: Solve for x
    x = 1,018,415,989.74/35,032.42
  6. Step 6: Final answer
    x = 29,070.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.