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Finding the Fourth Proportional to 32,835, 45,312.36 and 17,931

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Solution

The fourth proportional to 32,835, 45,312.36 and 17,931 is: 24,744.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,835 : 45,312.36 = 17,931 : x
  2. Step 2: Convert to fraction form
    32,835/45,312.36 = 17,931/x
  3. Step 3: Cross multiply
    32,835x = 45,312.36 × 17,931
  4. Step 4: Simplify right side
    32,835x = 812,495,927.16
  5. Step 5: Solve for x
    x = 812,495,927.16/32,835
  6. Step 6: Final answer
    x = 24,744.81

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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.