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Finding the Fourth Proportional to 53,529.63, 73,875.38 and 29,658.53

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Solution

The fourth proportional to 53,529.63, 73,875.38 and 29,658.53 is: 40,931.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,529.63 : 73,875.38 = 29,658.53 : x
  2. Step 2: Convert to fraction form
    53,529.63/73,875.38 = 29,658.53/x
  3. Step 3: Cross multiply
    53,529.63x = 73,875.38 × 29,658.53
  4. Step 4: Simplify right side
    53,529.63x = 2,191,034,656.32
  5. Step 5: Solve for x
    x = 2,191,034,656.32/53,529.63
  6. Step 6: Final answer
    x = 40,931.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.