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Finding the Fourth Proportional to 47,098.53, 64,931.02 and 37,570.74

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Solution

The fourth proportional to 47,098.53, 64,931.02 and 37,570.74 is: 51,795.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,098.53 : 64,931.02 = 37,570.74 : x
  2. Step 2: Convert to fraction form
    47,098.53/64,931.02 = 37,570.74/x
  3. Step 3: Cross multiply
    47,098.53x = 64,931.02 × 37,570.74
  4. Step 4: Simplify right side
    47,098.53x = 2,439,506,132.94
  5. Step 5: Solve for x
    x = 2,439,506,132.94/47,098.53
  6. Step 6: Final answer
    x = 51,795.80

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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.