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Finding the Fourth Proportional to 35,538.64, 53,308.16 and 14,762.16

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Solution

The fourth proportional to 35,538.64, 53,308.16 and 14,762.16 is: 22,143.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,538.64 : 53,308.16 = 14,762.16 : x
  2. Step 2: Convert to fraction form
    35,538.64/53,308.16 = 14,762.16/x
  3. Step 3: Cross multiply
    35,538.64x = 53,308.16 × 14,762.16
  4. Step 4: Simplify right side
    35,538.64x = 786,943,587.23
  5. Step 5: Solve for x
    x = 786,943,587.23/35,538.64
  6. Step 6: Final answer
    x = 22,143.32

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1.5x scale

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.