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Finding the Fourth Proportional to 42,931.50, 64,322.16 and 29,792.22

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Solution

The fourth proportional to 42,931.50, 64,322.16 and 29,792.22 is: 44,636.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,931.50 : 64,322.16 = 29,792.22 : x
  2. Step 2: Convert to fraction form
    42,931.50/64,322.16 = 29,792.22/x
  3. Step 3: Cross multiply
    42,931.50x = 64,322.16 × 29,792.22
  4. Step 4: Simplify right side
    42,931.50x = 1,916,299,941.60
  5. Step 5: Solve for x
    x = 1,916,299,941.60/42,931.50
  6. Step 6: Final answer
    x = 44,636.22

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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.