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Finding the Fourth Proportional to 30,476.80, 45,715.20 and 9,702.40

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Solution

The fourth proportional to 30,476.80, 45,715.20 and 9,702.40 is: 14,553.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,476.80 : 45,715.20 = 9,702.40 : x
  2. Step 2: Convert to fraction form
    30,476.80/45,715.20 = 9,702.40/x
  3. Step 3: Cross multiply
    30,476.80x = 45,715.20 × 9,702.40
  4. Step 4: Simplify right side
    30,476.80x = 443,547,156.48
  5. Step 5: Solve for x
    x = 443,547,156.48/30,476.80
  6. Step 6: Final answer
    x = 14,553.60

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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.