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Finding the Fourth Proportional to 57,931.04, 79,946.52 and 32,780

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Solution

The fourth proportional to 57,931.04, 79,946.52 and 32,780 is: 45,237.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,931.04 : 79,946.52 = 32,780 : x
  2. Step 2: Convert to fraction form
    57,931.04/79,946.52 = 32,780/x
  3. Step 3: Cross multiply
    57,931.04x = 79,946.52 × 32,780
  4. Step 4: Simplify right side
    57,931.04x = 2,620,646,925.60
  5. Step 5: Solve for x
    x = 2,620,646,925.60/57,931.04
  6. Step 6: Final answer
    x = 45,237.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.