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Finding the Fourth Proportional to 42,852.04, 64,295.04 and 16,549.72

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Solution

The fourth proportional to 42,852.04, 64,295.04 and 16,549.72 is: 24,831.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,852.04 : 64,295.04 = 16,549.72 : x
  2. Step 2: Convert to fraction form
    42,852.04/64,295.04 = 16,549.72/x
  3. Step 3: Cross multiply
    42,852.04x = 64,295.04 × 16,549.72
  4. Step 4: Simplify right side
    42,852.04x = 1,064,064,909.39
  5. Step 5: Solve for x
    x = 1,064,064,909.39/42,852.04
  6. Step 6: Final answer
    x = 24,831.14

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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.