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Finding the Fourth Proportional to 42,894.74, 64,354.26 and 17,946.74

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Solution

The fourth proportional to 42,894.74, 64,354.26 and 17,946.74 is: 26,925.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,894.74 : 64,354.26 = 17,946.74 : x
  2. Step 2: Convert to fraction form
    42,894.74/64,354.26 = 17,946.74/x
  3. Step 3: Cross multiply
    42,894.74x = 64,354.26 × 17,946.74
  4. Step 4: Simplify right side
    42,894.74x = 1,154,949,172.11
  5. Step 5: Solve for x
    x = 1,154,949,172.11/42,894.74
  6. Step 6: Final answer
    x = 26,925.19

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Why These Related Problems?

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