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Finding the Fourth Proportional to 35,957.16, 53,938.98 and 9,661.32

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Solution

The fourth proportional to 35,957.16, 53,938.98 and 9,661.32 is: 14,492.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,957.16 : 53,938.98 = 9,661.32 : x
  2. Step 2: Convert to fraction form
    35,957.16/53,938.98 = 9,661.32/x
  3. Step 3: Cross multiply
    35,957.16x = 53,938.98 × 9,661.32
  4. Step 4: Simplify right side
    35,957.16x = 521,121,746.25
  5. Step 5: Solve for x
    x = 521,121,746.25/35,957.16
  6. Step 6: Final answer
    x = 14,492.85

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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.