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Finding the Fourth Proportional to 42,407.84, 63,611.76 and 14,328.02

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Solution

The fourth proportional to 42,407.84, 63,611.76 and 14,328.02 is: 21,492.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,407.84 : 63,611.76 = 14,328.02 : x
  2. Step 2: Convert to fraction form
    42,407.84/63,611.76 = 14,328.02/x
  3. Step 3: Cross multiply
    42,407.84x = 63,611.76 × 14,328.02
  4. Step 4: Simplify right side
    42,407.84x = 911,430,569.52
  5. Step 5: Solve for x
    x = 911,430,569.52/42,407.84
  6. Step 6: Final answer
    x = 21,492.03

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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.