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Finding the Fourth Proportional to 38,423.84, 57,585.76 and 19,688

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Solution

The fourth proportional to 38,423.84, 57,585.76 and 19,688 is: 29,506.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,423.84 : 57,585.76 = 19,688 : x
  2. Step 2: Convert to fraction form
    38,423.84/57,585.76 = 19,688/x
  3. Step 3: Cross multiply
    38,423.84x = 57,585.76 × 19,688
  4. Step 4: Simplify right side
    38,423.84x = 1,133,748,442.88
  5. Step 5: Solve for x
    x = 1,133,748,442.88/38,423.84
  6. Step 6: Final answer
    x = 29,506.38

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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.