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Finding the Fourth Proportional to 46,988.16, 70,482.24 and 18,916.80

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Solution

The fourth proportional to 46,988.16, 70,482.24 and 18,916.80 is: 28,375.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,988.16 : 70,482.24 = 18,916.80 : x
  2. Step 2: Convert to fraction form
    46,988.16/70,482.24 = 18,916.80/x
  3. Step 3: Cross multiply
    46,988.16x = 70,482.24 × 18,916.80
  4. Step 4: Simplify right side
    46,988.16x = 1,333,298,437.63
  5. Step 5: Solve for x
    x = 1,333,298,437.63/46,988.16
  6. Step 6: Final answer
    x = 28,375.20

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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.