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Finding the Fourth Proportional to 35,916.60, 53,878.54 and 9,624

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Solution

The fourth proportional to 35,916.60, 53,878.54 and 9,624 is: 14,436.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,916.60 : 53,878.54 = 9,624 : x
  2. Step 2: Convert to fraction form
    35,916.60/53,878.54 = 9,624/x
  3. Step 3: Cross multiply
    35,916.60x = 53,878.54 × 9,624
  4. Step 4: Simplify right side
    35,916.60x = 518,527,068.96
  5. Step 5: Solve for x
    x = 518,527,068.96/35,916.60
  6. Step 6: Final answer
    x = 14,436.98

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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.